Properties of the Number 64

Sixty-Four

Basics

Value: 63 → 64 → 65

Parity: even

Prime: No

Previous Prime: 61

Next Prime: 67

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶

Divisors: 1, 2, 4, 8, 16, 32, 64

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000

Octal: 100

Duodecimal: 54

Hexadecimal: 40

Square: 4096

Square Root: 8

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Powers of 2: a(n) = 2ⁿ. A79

The squares: a(n) = n². A290

The positive integers. Also called the natural numbers, the whole numbers or the counting numbers, but these terms are ambiguous. A27

Expansion of ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

Powers of primes. Alternatively, 1 and the prime powers (p^k, p prime, k >= 1). A961

The cubes: a(n) = n³. A578

The composite numbers: numbers n of the form x·y for x > 1 and y > 1. A2808

Coefficients of expansion of (1-x)/(1-2·x) in powers of x. A11782

The nonnegative integers. A1477

The nonnegative even numbers: a(n) = 2n. A5843

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