Properties of the Number 64764

Sixty-Four Thousand Seven Hundred Sixty-Four

Basics

Value: 64763 → 64764 → 64765

Parity: even

Prime: No

Previous Prime: 64763

Next Prime: 64781

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 7 × 257

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111110011111100

Octal: 176374

Duodecimal: 31590

Hexadecimal: fcfc

Square: 4194375696

Square Root: 254.48772072538196

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 set partitions of strict integer partitions of n that have distinct block-sums. A279375

Numbers k such that 2^k - k + 1 is prime. A100361

a(n) = ∑_{k = 0..n-1} binomial(n,k)²*binomial(n+k-1,k). A361715

Triangle read by rows: T(n,k) is number of non-derangement permutations of {1,2,...,n} having k cycles (1 <= k <= n). A162971

Expansion of e.g.f. 1/(1 + log(1 + x)⁴ / 24). A354390

Number of nX4 arrays of permutations of 4 copies of 0..n-1 with every element equal to or 1 greater than any west or northeast neighbors modulo n and the upper left element equal to 0. A267738

Number of 8X8 arrays of squares of integers, symmetric under 90 degree rotation, with all rows summing to n. A156397

Largest integer m such that every permutation (p₁, ..., p_n) of (1, ..., n) satisfies lcm(p_i, p_i+1) >= m for some i, 1 <= i <= n-1. A64764

Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303199

Triangle read by rows: expansion of p(x,n)=If[n == 0, 1, (x + 1)ⁿ + 2^{n - 3}*Sum[Binomial[n, m]*x^m*(1 + x^{n - 2·m}), {m, 1, n - 1}]]. A146767