Properties of the Number 48701

Forty-Eight Thousand Seven Hundred One

Basics

Value: 48700 → 48701 → 48702

Parity: odd

Prime: No

Previous Prime: 48679

Next Prime: 48731

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 31 × 1571

Divisors: 1, 31, 1571, 48701

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111000111101

Octal: 137075

Duodecimal: 24225

Hexadecimal: be3d

Square: 2371787401

Square Root: 220.6830306117804

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

Cupolar numbers: a(n) = (n+1)*(5·n² + 7·n + 3)/3. A96000

Values of w(k) when w(k-2), w(k-1), and w(k) are all odd, where w is A336957. A338071

Number of nonnegative solutions to (x₁)² + (x₂)² + ... + (x₉)² <= n. A341404

Triangle T(n, k) = binomial(2·n, n) + binomial(n, k)², read by rows. A157531

Number of strings of numbers x(i=1..n) in 0..5 with sum i·x(i) equal to n·5. A184699

Number of strings of numbers x(i=1..11) in 0..n with sum i·x(i) equal to n·11. A184711

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 481", based on the 5-celled von Neumann neighborhood. A272457

Rademacher's partition formula extended to half-integers. a(n) = round(sqrt(48) * (cosh(h(n)) - sinh(h(n))/h(n)) / (24·n + 11)) where h(n) = sqrt(24·n + 11)*(π/6). A376876

List of binary palindromes of even length (written in base 10). A48701