Properties of the Number 50464

Fifty Thousand Four Hundred Sixty-Four

Basics

Value: 50463 → 50464 → 50465

Parity: even

Prime: No

Previous Prime: 50461

Next Prime: 50497

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 19 × 83

Divisors: 1, 2, 4, 8, 16, 19, 32, 38, 76, 83

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100010100100000

Octal: 142440

Duodecimal: 25254

Hexadecimal: c520

Square: 2546615296

Square Root: 224.64193731358355

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

Scaled array A078740 ((3,2)-Stirling2). A90452

Initial members of abundant quintuplets, i.e., values of k such that (k, k+2, k+4, k+6, k+8) are all abundant numbers. A108926

a(n) = a(n-1) + 3·a(n-2) - 2·a(n-3) - 2·a(n-4), where a(0) = 1, a(1) = 2, a(2) = 3, a(3) = 4. A295619

Triangle read by rows: T(n,k) is the number of bargraphs of semiperimeter n having width k (n>=2, k>=1). A271942

a(n) = ∑_k=1..n ((-1)^n-k * k / ((n+1)² + (k-1)*(n+1))) * binomial(n+1, k+1) * binomial(n+k, k)². A271777

G.f. A(x) satisfies: A(x) = ∏_k>=1 (1 + x^k*A(x))^k. A302287

Expansion of tan(x)*sin(sin(x)). A9740

a(n) = A192525(n)/2. A192526

Let s denote the sum of the abundant numbers in the aliquot parts of x. Sequence lists numbers·such that σ(s) = usigma(x), where usigma(x) is the sum of the unitary divisors of x (A034448). A258135

Triangle T(n,k) read by rows: the number of independent sets of size k in the 132 core of size n. A278390