Properties of the Number 39492

Thirty-Nine Thousand Four Hundred Ninety-Two

Basics

Value: 39491 → 39492 → 39493

Parity: even

Prime: No

Previous Prime: 39461

Next Prime: 39499

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 1097

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 1097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1001101001000100

Octal: 115104

Duodecimal: 1AA30

Hexadecimal: 9a44

Square: 1559618064

Square Root: 198.72594194015034

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252640

Number of ordered pairs (p,q) of partitions of n such that the set of parts in q is equal to the set of parts in p. A369695

a(n) = n*(6·n² - 7·n + 3)/2. A71230

Sum of the cubes of the first n cubefree numbers. A114286

Number of primes between A075737(n) and A075737(n+1), including one bound. A134850

Number of permutations that lie in the cyclic closure of Av(123) - i.e., at least one cyclic rotation of the permutation avoids the pattern 123. A141254

G.f. A(x) satisfies A(x) = 1 + x·A(x) / A(x²). A218033

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252635

Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252644

Numbers k such that Bernoulli number B_k has denominator 1919190. A295595