Properties of the Number 40288

Forty Thousand Two Hundred Eighty-Eight

Basics

Value: 40287 → 40288 → 40289

Parity: even

Prime: No

Previous Prime: 40283

Next Prime: 40289

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 1259

Divisors: 1, 2, 4, 8, 16, 32, 1259, 2518, 5036, 10072

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110101100000

Octal: 116540

Duodecimal: 1B394

Hexadecimal: 9d60

Square: 1623122944

Square Root: 200.71870864471003

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

Number of bipartite partitions of (i,j) with i+j = n into distinct pairs. A219555

T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by one or less. A269606

Numbers n such that n!8+1 is prime (for n!8 see A114800). A204661

Difference between n and the sum of the factorials of its digits. A108911

a(n) = (1/(2·n+1)) * ∑_k=0..n (2·k+1) * binomial(4·n+2,n-k). A390776

Number of partitions of 9·n-8 into parts having in decimal representation digital root 1. A156145

Indices where the cumulative sum of cos(2k+1)^2k+1 reaches a record high value. A389559

Number of strict chains of divisors in A130091 (numbers with distinct prime multiplicities) starting with a proper divisor of n! and ending with 1. A337075

Number of achiral noncrossing partitions composed of n blocks of size 4. A369930

Number of length-n 0..5 arrays with no repeated value differing from the previous repeated value by one or less. A269603