Properties of the Number 51348

Fifty-One Thousand Three Hundred Forty-Eight

Basics

Value: 51347 → 51348 → 51349

Parity: even

Prime: No

Previous Prime: 51347

Next Prime: 51349

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 11 × 389

Divisors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100100010010100

Octal: 144224

Duodecimal: 25870

Hexadecimal: c894

Square: 2636617104

Square Root: 226.60097087170655

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

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3) and Hilbert 3-class field tower of exact length 3, except for the cases mentioned in the COMMENTS. A242878

Number of ways to write n as an ordered sum of 9 nonzero triangular numbers. A340954

Number of partitions of n such that m(greatest part) <= m(1), where m = multiplicity. A240077

Expansion of q^-3/4 * η(q²)² * η(q²⁰) / (η(q)² * η(q⁴)) in powers of q. A146163

G.f. A(x) such that triangle A233530, which transforms diagonals in the table of successive iterations of A(x), consists of all zeros after row 1. A233531

Triangle, read by rows, that transforms diagonals in the table of coefficients in the successive iterations of the g.f. (A233531) such that column 0 consists of all zeros after row 1. A233530

a(n) = F(n) / ∏_p∣n F(p), where F(k) is k-th Fibonacci number and the p's in product are the distinct primes dividing n. A51348