Properties of the Number 64288

Sixty-Four Thousand Two Hundred Eighty-Eight

Basics

Value: 64287 → 64288 → 64289

Parity: even

Prime: No

Previous Prime: 64283

Next Prime: 64301

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 7 ² × 41

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 41

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101100100000

Octal: 175440

Duodecimal: 31254

Hexadecimal: fb20

Square: 4132946944

Square Root: 253.55078386784766

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 compositions of n whose run-lengths are not unimodal. A332727

Structured octagonal prism numbers. A100176

Number of 4-step king's tours on an n X n board summed over all starting positions. A186863

The constant for the smallest n X n associative magic square which consists of Smith numbers. A189121

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 565", based on the 5-celled von Neumann neighborhood. A272945

Numbers k that divide the k-th Franel number. A372940

We consider how many ways there are of coloring a square grid, n X n, using just two colors, black & white say. If the resulting grid has rotational symmetry of order two only, then the number of different grids is given by this sequence. None of these counted are the images of any of the others under a reflection or a rotation of 90 degrees. If one wishes to count these as different, then each of these numbers can be multiplied by 4. A140795

Sum of the numerators for computing the fourth moment of the probability mass function for the number of involutions with k 2-cycles in n elements (A000085) assuming equal likelihood. A174782

Numbers k >= 1 such that A018804(k) divided by A000203(k) is an integer. A349726

Height of n when it appears for first time in Recamán's sequence A005132. A64288