Properties of the Number 40768

Forty Thousand Seven Hundred Sixty-Eight

Basics

Value: 40767 → 40768 → 40769

Parity: even

Prime: No

Previous Prime: 40763

Next Prime: 40771

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 7 ² × 13

Divisors: 1, 2, 4, 7, 8, 13, 14, 16, 26, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111101000000

Octal: 117500

Duodecimal: 1B714

Hexadecimal: 9f40

Square: 1662029824

Square Root: 201.9108714259834

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 ways to write n as an ordered sum of 8 primes. A340964

Expansion of e.g.f. exp( x * (exp(2·x) - 1) ). A351736

Number of ways to place 3 points on an n X n square grid so that no more than 2 points are on a vertical or horizontal straight line. A279437

Product of the nonzero exponents in the prime factorization of n!. A135291

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1, 3 or 4 king-move neighboring 1s. A296804

Triangle read by rows: T(n, k) = binomial(2·n, n + k) * binomial(n + 1, k)/(n + 1). A286784

Numbers all of whose divisors are odious numbers (A000069) with a record number of divisors. A330289

a(n) = n + (n+1)² + (n+2)³ + (n+3)⁴. A27621

Third binomial transform of A010685 (period 2: repeat 1,4). A80960

Numbers with 42 divisors. A175750