Properties of the Number 40455

Forty Thousand Four Hundred Fifty-Five

Basics

Value: 40454 → 40455 → 40456

Parity: odd

Prime: No

Previous Prime: 40433

Next Prime: 40459

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 29 × 31

Divisors: 1, 3, 5, 9, 15, 29, 31, 45, 87, 93

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111000000111

Octal: 117007

Duodecimal: 1B4B3

Hexadecimal: 9e07

Square: 1636607025

Square Root: 201.1342835023408

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

a(n) = n*(n+1)*(n+2)*(n+7)/24. A5582

Numbers n for which there are exactly six k such that n = k + (product of nonzero digits of k). A96927

Number T(n,k) of rooted identity trees with n nodes and colored non-root nodes using exactly k colors; triangle T(n,k), n>=1, 0<=k<=n-1, read by rows. A256068

Row sums of irregular triangle A070168. A285098

G.f. A(x) satisfies A(x) = 1 / ((1 - x) * (1 - 2·x * A(x²))). A390659

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 19 (most significant digit on right). A29512

Numbers n such that the sum of the distinct prime divisors of n that are congruent to 1 mod 4 equals the sum of the distinct prime divisors congruent to 3 mod 4. A215949

Partial sums of floor(Fibonacci(n)/3). A179001

Expansion of 1/(1-x-x²-x³-x⁴+x⁵+x⁶+x⁷-x⁹). A258000

Triangle read by rows: T(n,k) is the number of chains of length k in the partially ordered (by subspace inclusion) set of all subspaces of GF(2)ⁿ, n>=0, 0<=k<=n. A293845