Properties of the Number 57696

Fifty-Seven Thousand Six Hundred Ninety-Six

Basics

Value: 57695 → 57696 → 57697

Parity: even

Prime: No

Previous Prime: 57689

Next Prime: 57697

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 601

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000101100000

Octal: 160540

Duodecimal: 29480

Hexadecimal: e160

Square: 3328828416

Square Root: 240.19991673603886

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

Number of rooted ordered trees with n non-root nodes such that all leaf nodes can be k different colors where k is the degree of their parent node. A384613

a(n) is the determinant of the 2 X 2 matrix whose entries (when read by rows) are the n-th primes congruent to 1, 3, 5, 7 mod 8 respectively. A337145

Number of permutations of [n] where each pair of adjacent elements is coprime and does not differ by a prime. A368958

Numbers n such that n, n+1, n+2, n+3, n+4 are all of the form x²+2·y² for nonnegative x, y. A96783

Expansion of 1/(1 - ∑_k>=2 μ(k)²*x^k), where μ(k) is the Moebius function (A008683). A280197

G.f. = φ³*F³, where φ = g.f. for A028930, F = g.f. for A028959. A328534

Triangle, read by rows, that transforms diagonals in the array A274390 of coefficients in successive iterations of Euler's tree function (A000169). A274570

Number of letters in n in Brazilian Portuguese (not counting spaces). A57696