Properties of the Number 53440

Fifty-Three Thousand Four Hundred Forty

Basics

Value: 53439 → 53440 → 53441

Parity: even

Prime: No

Previous Prime: 53437

Next Prime: 53441

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 5 × 167

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000011000000

Octal: 150300

Duodecimal: 26B14

Hexadecimal: d0c0

Square: 2855833600

Square Root: 231.17093242879824

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..1 arrays with every element equal to 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A301999

G.f. A(x) satisfies: A(x) = 1 + x + x³ * A(x)² / (1 - x). A346504

n+φ(n)+φ(φ(n)) is a cube. A116042

Largest number that is not the sum of five n-gonal numbers. A118367

Number of binary strings of length n with no substrings equal to 0000 0101 or 1011. A164435

Number of n X 2 zero-sum -1..1 arrays with rows and columns lexicographically nondecreasing. A202027

Number of 4Xn 0..1 arrays with every element equal to 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A302001

Row sums of A309038. A328685

Number of k-simplices in the first derived complex of the standard triangulation of an n-simplex. Equivalently, T(n,k) is the number of ascending chains of length k+1 of nonempty subsets of the set {1, 2, ..., n+1}. A53440

Expansion of g.f. A(x) satisfying A( A(x)² ) = x·A(x)/(1 - 2·A(x)). A372527