Properties of the Number 40688

Forty Thousand Six Hundred Eighty-Eight

Basics

Value: 40687 → 40688 → 40689

Parity: even

Prime: No

Previous Prime: 40639

Next Prime: 40693

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 2543

Divisors: 1, 2, 4, 8, 16, 2543, 5086, 10172, 20344, 40688

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111011110000

Octal: 117360

Duodecimal: 1B668

Hexadecimal: 9ef0

Square: 1655513344

Square Root: 201.7126669299675

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

Solution to the Dancing School Problem with n girls and n+9 boys: f(n,9). A79928

Number of subsets of {1..n} containing n such that only one set can be obtained by choosing a different prime factor of each element. A370588

Solution to the Dancing School Problem with 5 girls and n+5 boys: f(5,n). A79910

a(n) is the total multiplicity of all products of Schur functions s(λ)*s(μ) with size(λ) + size(μ) = n. A296626

T(n,k)=Number of length n arrays x(i), i=1..n with x(i) in i..i+k and no value appearing more than 1 time. A248944

Continued fraction for sqrt(715). A40688