Properties of the Number 40456

Forty Thousand Four Hundred Fifty-Six

Basics

Value: 40455 → 40456 → 40457

Parity: even

Prime: No

Previous Prime: 40433

Next Prime: 40459

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 13 × 389

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 389, 778

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001111000001000

Octal: 117010

Duodecimal: 1B4B4

Hexadecimal: 9e08

Square: 1636687936

Square Root: 201.13676938839401

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

Number of nodes at n-th level in tree in which top node is 1; each node k has children labeled 1, 2, ..., k*(k+1) at next level. A147794

q = x·exp( 8 * (∑_k>0 a(k) * x^k / k)) where x = m/16, q is the elliptic nome and m = k² is the parameter. A227503

Numerators of coefficients in the expansion of (log(q) - log(k²/16))/(8·k²/16) in powers of k²/16, where q is the Jacobi nome and k² the parameter of elliptic functions. A274345

Records in A087669. A192230

E.g.f. satisfies A(x) = exp(x * (1-x)³ * A(x)) / (1-x)⁴. A378091

Expansion of (1-x)/((1-x)² - 5·x³). A97118

Irregular table read by rows: T(n,k) is the number of k-sided polygons formed, for k>=3, in a square when straight line segments connect the n+1 points along each edge that divide it into n equal parts to the n+1 points on the edge on the opposite side of the square. A355841

Continued fraction for sqrt(478). A40456