39541 (number)
39,541 (thirtynine thousand five hundred fortyone) is an odd fivedigits prime number following 39540 and preceding 39542. In scientific notation, it is written as 3.9541 × 10^{4}. The sum of its digits is 22. It has a total of 1 prime factor and 2 positive divisors. There are 39,540 positive integers (up to 39541) that are relatively prime to 39541.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 22
 Digital Root 4
Name
Short name  39 thousand 541 

Full name  thirtynine thousand five hundred fortyone 
Notation
Scientific notation  3.9541 × 10^{4} 

Engineering notation  39.541 × 10^{3} 
Prime Factorization of 39541
Prime Factorization 39541
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  39541  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.58509338725  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 39,541 is 39541. Since it has a total of 1 prime factor, 39,541 is a prime number.
Divisors of 39541
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  39542  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  19771  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  198.8491890856  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999494208689  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 39,541 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 39,541) is 39,542, the average is 19,771.
Other Arithmetic Functions (n = 39541)
φ(n)  Euler Totient  39540  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  39540  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 4157  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 39,540 positive integers (less than 39,541) that are coprime with 39,541. And there are approximately 4,157 prime numbers less than or equal to 39,541.
Divisibility of 39541
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  5  5  4 
39,541 is not divisible by any number less than or equal to 9.
Classification of 39541
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (39541)
Base  System  Value 

2  Binary  1001101001110101 
3  Ternary  2000020111 
4  Quaternary  21221311 
5  Quinary  2231131 
6  Senary  503021 
8  Octal  115165 
10  Decimal  39541 
12  Duodecimal  1aa71 
16  Hexadecimal  9a75 
20  Vigesimal  4ih1 
36  Base36  uid 
Basic calculations (n = 39541)
Multiplication
n×yn×2  79082 

n×3  118623 
n×4  158164 
n×5  197705 
Division
n÷yn÷2  19770.500 

n÷3  13180.333 
n÷4  9885.250 
n÷5  7908.200 
Exponentiation
n^{y}n^{2}  1563490681 

n^{3}  61821985017421 
n^{4}  2444503109573843761 
n^{5}  96658097455659356153701 
Nth Root
^{y}√n^{2}√n  198.8491890856 

^{3}√n  34.06820219887 
^{4}√n  14.10138961541 
^{5}√n  8.3063366676195 
39541 as geometric shapes
Circle
Radius = nDiameter  79082 

Circumference  248443.43023119 
Area  4911850837.3857 
Sphere
Radius = nVolume  2.5895932528142E+14 

Surface area  19647403349.543 
Circumference  248443.43023119 
Square
Length = nPerimeter  158164 

Area  1563490681 
Diagonal  55919.418469795 
Cube
Length = nSurface area  9380944086 

Volume  61821985017421 
Space diagonal  68487.020982081 
Equilateral Triangle
Length = nPerimeter  118623 

Area  677011324.16312 
Altitude  34243.51049104 
Triangular Pyramid
Length = nSurface area  2708045296.6525 

Volume  7285790805371.9 
Height  32285.091306463 
Cryptographic Hash Functions
md5  063eb8aa17714d0c60ef8b2d1e03cdf7 

sha1  f7ab87b70916a98e81373ecc15fcfe0cc61a6427 
sha256  4c78e9cadd1cb5c62ccd57c2c646f4fb150f0d6aebb75919f0665ed9252cd7e9 
sha512  d2afb3cb8a11788629264c0a0913478535a2758826aab4ae4996dfb655a9cde4109537218e6c4335e1d1590cf1148a255a45b08b75e7728c1a5ec7fa76bffe12 
ripemd160  e9513479ebf4f52925233cf7497abc03c5bb20cd 