Properties of the Number 56

Fifty-Six

Basics

Value: 55 → 56 → 57

Parity: even

Prime: No

Previous Prime: 53

Next Prime: 59

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 7

Divisors: 1, 2, 4, 7, 8, 14, 28, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: Yes

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Representations

Binary: 111000

Octal: 70

Duodecimal: 48

Hexadecimal: 38

Square: 3136

Square Root: 7.483314773547883

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

a(n) = σ(n), the sum of the divisors of n. Also called sigma₁(n). A203

a(n) is the number of partitions of n (the partition numbers). A41

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

Pascal's triangle read by rows: C(n,k) = binomial(n,k) = n!/(k!*(n-k)!), 0 <= k <= n. A7318

a(n) = n' = arithmetic derivative of n: a(0) = a(1) = 0, a(prime) = 1, a(m·n) = m·a(n) + n·a(m). A3415

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

Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6. A292

The nonnegative integers. A1477

Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1). A2378

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

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