Properties of the Number 45760

Forty-Five Thousand Seven Hundred Sixty

Basics

Value: 45759 → 45760 → 45761

Parity: even

Prime: No

Previous Prime: 45757

Next Prime: 45763

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 5 × 11 × 13

Divisors: 1, 2, 4, 5, 8, 10, 11, 13, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: Yes

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Representations

Binary: 1011001011000000

Octal: 131300

Duodecimal: 22594

Hexadecimal: b2c0

Square: 2093977600

Square Root: 213.915871313935

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

Sum of the first n even squares: a(n) = 2·n*(n+1)*(2·n+1)/3. A2492

Dodecahedral numbers: a(n) = n*(3·n - 1)*(3·n - 2)/2. A6566

Number of permutations P of {1,2,...,n} such that P(1)=1 and |P^-1(i+1)-P^-1(i)| equals 1 or 2 for i=1,2,...,n-1. A38718

a(n) = n*(n-1)*(n-2)*(n-3)*(n²-3·n-2)/48. A93566

Number of inequivalent 3 X 3 matrices with entries in {1,2,3,..,n} up to row permutations. A282612

Triangle, read by rows, where T(n,k) = C( C(n+2,3) - C(k+2,3) + 2, n-k) for n>=k>=0. A126454

Triangle, read by rows, where T(n,k) = C(2^k + n-k-1, n-k). A137153

Square array read by antidiagonals: row n lists n-gonal pyramidal numbers that are products of smaller n-gonal pyramidal numbers. A374498

Tetrahedral numbers that are products of smaller tetrahedral numbers. A364151

G.f.: 1/((1-x)*(1-x²))⁵. A38165