Properties of the Number 64756

Sixty-Four Thousand Seven Hundred Fifty-Six

Basics

Value: 64755 → 64756 → 64757

Parity: even

Prime: No

Previous Prime: 64747

Next Prime: 64763

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 16189

Divisors: 1, 2, 4, 16189, 32378, 64756

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110011110100

Octal: 176364

Duodecimal: 31584

Hexadecimal: fcf4

Square: 4193339536

Square Root: 254.4720023892609

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+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10 (10 maximizes T(1,1)), and no two adjacent values equal. A233691

G.f.: (∏_j>=1 1/(1-q^j)² + ∏_j>=1 1/(1-q^2·j))/2. A281357

a(n) = floor( n^π ). A61294

Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10, and no two adjacent values equal. A233685

Number of (n+1)X(5+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10, and no two adjacent values equal. A233688

Number of conjugacy classes in Weyl group of type D_n. A234254

Number of partitions of n with parts colored by {0, 1} such that the sum of colors is congruent to 1 (mod 2). A392002

a(n) = n·10ⁿ - 1. A64756