Properties of the Number 47640

Forty-Seven Thousand Six Hundred Forty

Basics

Value: 47639 → 47640 → 47641

Parity: even

Prime: No

Previous Prime: 47639

Next Prime: 47653

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 397

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101000011000

Octal: 135030

Duodecimal: 236A0

Hexadecimal: ba18

Square: 2269569600

Square Root: 218.26589289213283

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

T(n,k)=Number of nXk 0..2 arrays with some element plus some horizontally or vertically adjacent neighbor totalling two exactly once. A268639

Triangle read by rows: T(n,k) is the number of planar tanglegrams of size n with 0 <= k < n leaf-matched pairs. A leaf matched pair is a pair of non-leaf vertices (u,v) in the tanglegram such that the induced subtrees rooted and u and v also form a tanglegram (equivalently, the leaves in these two subtrees are matched by the matching that forms the original tanglegram). A349409

Number of 4-step left-handed knight's tours (moves only out two, left one) on an n X n board summed over all starting positions. A187174

Number of n X n 0..2 arrays with some element plus some horizontally or vertically adjacent neighbor totalling two exactly once. A268632

Number of n_X_4 0..2 arrays with some element plus some horizontally or vertically adjacent neighbor totalling two exactly once. A268635

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹⁵ in powers of x. A47640