Properties of the Number 512

Five Hundred Twelve

Basics

Value: 511 → 512 → 513

Parity: even

Prime: No

Previous Prime: 509

Next Prime: 521

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ⁹

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000000000

Octal: 1000

Duodecimal: 368

Hexadecimal: 200

Square: 262144

Square Root: 22.627416997969522

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

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

The cubes: a(n) = n³. A578

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

Perfect powers: m^k where m > 0 and k >= 2. A1597

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

Unary-encoded compressed factorization of natural numbers. A156552

3-smooth numbers: numbers of the form 2ⁱ*3^j with i, j >= 0. A3586

Self-inverse permutation of the positive integers induced by partition enumeration in A112798 and partition conjugation. A122111

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