Properties of the Number 47682

Forty-Seven Thousand Six Hundred Eighty-Two

Basics

Value: 47681 → 47682 → 47683

Parity: even

Prime: No

Previous Prime: 47681

Next Prime: 47699

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 883

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 883, 1766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101001000010

Octal: 135102

Duodecimal: 23716

Hexadecimal: ba42

Square: 2273573124

Square Root: 218.36208462093413

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

Square array where T(n,k) = ∑_j=0..k C(n+2·j,j)*C(n+2·j,k-j), read by antidiagonals. A137634

Total number of modes in all partitions of n. A372542

Number of unlabeled loopless multigraphs with n edges rooted at two indistinguishable vertices. A339066

Numbers m such that φ(m)*τ(m) is a square but φ(m)/τ(m) is not the square of an integer. A341940

a(n) is the least integer that is the sum of two nonzero tetrahedral numbers in exactly n ways. A334013

a(n) = 4^2·n*(4^2·n-1)*Bernoulli(2·n)/(2·n). A47682