Properties of the Number 50787

Fifty Thousand Seven Hundred Eighty-Seven

Basics

Value: 50786 → 50787 → 50788

Parity: odd

Prime: No

Previous Prime: 50777

Next Prime: 50789

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 11 × 19

Divisors: 1, 3, 9, 11, 19, 27, 33, 57, 81, 99

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100011001100011

Octal: 143143

Duodecimal: 25483

Hexadecimal: c663

Square: 2579319369

Square Root: 225.35971245988046

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

Numbers k such that 11^k == -1 (mod k-1). A55694

Positive integers n that are palindromic in base 2 and whose binary representation has the same number of 0's as 1's. A143905

Number of representations of 1 as a sum of numbers d·k with d in {-1,1} and k in {1,2,...,n}, where the sum of the numbers k is 2n + 1. A236430

T(n, k) = [x^k] M(n)*∑_k=0..n E2(n, k)*binomial(-x + n - k, 2·n), where E2 are the second-order Eulerian numbers A340556 and M(n) are the Minkowski numbers. Triangle read by rows, T(n, k) for n >= 0 and 0 <= k <= 2·n+1. A341111

Consider the Diophantine equation x³ + y³ = z³ - 1 (0 < x < y < z) or 'Fermat near misses'. Arrange solutions by increasing values of z. Sequence gives values of z. A50787