Properties of the Number 40792

Forty Thousand Seven Hundred Ninety-Two

Basics

Value: 40791 → 40792 → 40793

Parity: even

Prime: No

Previous Prime: 40787

Next Prime: 40801

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 5099

Divisors: 1, 2, 4, 8, 5099, 10198, 20396, 40792

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1001111101011000

Octal: 117530

Duodecimal: 1B734

Hexadecimal: 9f58

Square: 1663987264

Square Root: 201.97029484555395

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

Expansion of 1/((1-x) * (1-2·x) * (1-3·x))². A383841

Square array A(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of 1/∏_j=0..k (1 - j·x)². A383843

Starting positions of strings of four 7's in the decimal expansion of π. A83632

Number of length n arrays of permutations of 0..n-1 with each element moved by -6 to 6 places and the median of every three consecutive elements nondecreasing. A263595

G.f. A(x) satisfies: 1 = ∑_n>=0 xⁿ / A(x)ⁿ⁺¹ * ∏_k=1..n (1 + k·x). A324615

a(n) = [x^2·n] ∏_k=0..n 1/(1 - k·x)². A384205

T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and the median of every three consecutive elements nondecreasing. A263597

Continued fraction for sqrt(821). A40792