Properties of the Number 51948

Fifty-One Thousand Nine Hundred Forty-Eight

Basics

Value: 51947 → 51948 → 51949

Parity: even

Prime: No

Previous Prime: 51941

Next Prime: 51949

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 13 × 37

Divisors: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101011101100

Octal: 145354

Duodecimal: 26090

Hexadecimal: caec

Square: 2698594704

Square Root: 227.92103895867095

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

Expansion of g.f. A(x) satisfying A(x)² = A( x²/(1-2·x)⁴ )/(1-2·x). A375444

Smallest k such that k and k+n have the same prime signature that is different from all previous terms. A85876

Numbers n for which each of the digits 0-9 appears exactly once as first digit in the orbit of n under iterations of n -> (first digit of n)*(n with first digit removed) until a single digit is reached; no leading zeros allowed. A257299

a(n) = (7·n+1)*(7·n+2)*(7·n+4). A1547

Number of τ-isomorphism classes of spherical bitrades with |T0| = n. A169955

a(n) is the smallest even k >= 2 such that the first n multiples of k have the same sum of digits, but (n + 1)*k has a different one. a(n) = 0 if no such k exists. A237994

a(n) = n*(n+1)*(n+3). A317637

a(n) = 8ⁿ - 2ⁿ. A248217

Expansion of g.f. A(x) satisfying A(x)² = A( x²/(1-2·x)⁴ ). A375454

Numbers k such that k*σ(k) == 2 (mod φ(k)). A51948