Properties of the Number 45712

Forty-Five Thousand Seven Hundred Twelve

Basics

Value: 45711 → 45712 → 45713

Parity: even

Prime: No

Previous Prime: 45707

Next Prime: 45737

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 2857

Divisors: 1, 2, 4, 8, 16, 2857, 5714, 11428, 22856, 45712

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001010010000

Octal: 131220

Duodecimal: 22554

Hexadecimal: b290

Square: 2089586944

Square Root: 213.80364823828427

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

Imaginary parts of the recursive sequence a(n+2) = ∑_k=0..n binomial(n,k)*a(k)*a(n+1-k), with a(0)=2, a(1)=i. A289085

Replace n with the concatenation of its anti-divisors. A130846

Number of solutions to c(1)*prime(3)+...+c(n)*prime(n+2) = 1, where c(i) = +-1 for i>1, c(1) = 1. A22901

Number x = concat(MSD(x),b) such that MSD(x)*b = φ(x), where MSD(x) is the Most Significant Digit of·and φ(x) is the Euler totient function of x. A286130

Number of nX5 0..1 arrays with every element equal to 0, 1 or 4 horizontally or vertically adjacent elements, with upper left element zero. A301659

The number of simple polygons having all points of a 3 X n grid as vertices. A331235

a(n) is the permanent of the symmetric n X n matrix M defined by M(i,j) = gcd(2i-1,2j-1) for 1 <= i,j <= n. A392133

Primes with first digit 6. A45712