Properties of the Number 40536

Forty Thousand Five Hundred Thirty-Six

Basics

Value: 40535 → 40536 → 40537

Parity: even

Prime: No

Previous Prime: 40531

Next Prime: 40543

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 563

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111001011000

Octal: 117130

Duodecimal: 1B560

Hexadecimal: 9e58

Square: 1643167296

Square Root: 201.33554082675022

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) = 2·n*(16·n - 13). A263228

Number of strict (distinct parts) plane partitions of n with relatively prime parts. A323587

a(n) = floor(n*(n-1)*(n-2)*(n-3)/31). A11941

Numbers k such that 5·2^k - 3 is prime. A58588

Number of (n+6)X11 0..1 matrices with each 7X7 subblock idempotent. A224585

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 11000-01111-11000 pattern in any orientation. A147459

a(n) = (2·n)! * [x^2·n] arctan(x / sqrt(2))². A356901

T(n,k)=Number of (n+6)X(k+6) 0..1 matrices with each 7X7 subblock idempotent. A224588

Continued fraction for sqrt(560). A40536

G.f.: A(x) = 1 + x·A₁(x)²; A₁(x) = (1+x) + x·A₂(x)²; A₂(x) = (1+x)² + x·A₃(x)²; ...; A_n(x) = (1+x)ⁿ + x·A_n+1(x)² for n>=0 with A(x) = A₀(x). A138294