Properties of the Number 40756

Forty Thousand Seven Hundred Fifty-Six

Basics

Value: 40755 → 40756 → 40757

Parity: even

Prime: No

Previous Prime: 40751

Next Prime: 40759

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 23 × 443

Divisors: 1, 2, 4, 23, 46, 92, 443, 886, 1772, 10189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111100110100

Octal: 117464

Duodecimal: 1B704

Hexadecimal: 9f34

Square: 1661051536

Square Root: 201.88115315699977

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+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8. A252352

Number of partitions of n such that (number parts having multiplicity 1) is not a part and (number of 1s) is not a part. A241509

a(n) = n*(n+1)*(20·n-17)/6. A172117

a(0)=a(1)=1, a(n) = least k > a(n-1) such that k·a(n-2) is an oblong number. A214963

Positions of 2 in sequence A217916. A217918

Expansion of ∏_k>=0 ((1+x^3·k+1)/(1-x^3·k+1))². A261649

Numbers n such that 2ⁿ + 41·2^floor((n+1)/2) - 1 is prime. A206554

Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8. A252348

Number of minimal edge cuts in the n-antiprism graph. A378922

Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8. A252344