Properties of the Number -40626

Forty Thousand Six Hundred Twenty-Six

Basics

Value: -40627 → -40626 → -40625

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 37 × 61

Divisors: 1, 2, 3, 6, 9, 18, 37, 61, 74, 111

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1001111010110010

Octal: -117262

Duodecimal: -1B616

Hexadecimal: -9eb2

Square: 1650471876

Square Root: 201.5589243868899

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 (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 1,0 or 1,2. A264272

G.f.: ∑_n>=0 a(n)*xⁿ/(1+x)^n² = 1+x. A177447

Unsigned matrix inverse of triangle A214398, as a triangle read by rows n >= 1. A215241

Number of (n+1)X6 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186468

Number of (n+1)X8 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186470

T(n,m)=Number of (n+1)X6 0..m arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A188837

Number of (n+2) X (2+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252713

Number of (n+1)X(4+1) arrays of permutations of 0..n·5+4 with each element having index change +-(.,.) 0,0 1,0 or 1,2. A264268

Number of (3+1)X(n+1) arrays of permutations of 0..n·4+3 with each element having index change +-(.,.) 0,0 1,0 or 1,2. A264274

a(n) = ∑_{k = n..2·n+1} k². A299646