Properties of the Number 28755

Twenty-Eight Thousand Seven Hundred Fifty-Five

Basics

Value: 28754 → 28755 → 28756

Parity: odd

Prime: No

Previous Prime: 28753

Next Prime: 28759

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 5 × 71

Divisors: 1, 3, 5, 9, 15, 27, 45, 71, 81, 135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000001010011

Octal: 70123

Duodecimal: 14783

Hexadecimal: 7053

Square: 826850025

Square Root: 169.57299313275095

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

T(n,k)=Number of nX(k+1) 0..2 arrays with every row least squares fitting to a positive slope straight line and every column least squares fitting to a zero or positive slope straight line, with a single point array taken as having zero slope. A223309

a(n) = number of solutions to the Diophantine equation x+y²+z³=n⁴ with positive x,y,z all distinct. A121984

Number of strings of numbers x(i=1..7) in 0..n with sum i·x(i)³ equal to 7·n³. A184724

Number of 1X(n+1) 0..2 arrays with every row least squares fitting to a positive slope straight line and every column least squares fitting to a zero or positive slope straight line, with a single point array taken as having zero slope. A223310

G.f. A(x) satisfies 1 = ∑_n>=0 xⁿ * (1 + x·A(x)ⁿ⁺¹)ⁿ / A(x)ⁿ⁺¹. A385914

Number of partitions of n into at most 6 parts. A1402

G.f.: ∑_n>=0 xⁿ * ∑_k=0..n binomial(n,k)³ * x^k*(1-x)^n-k. A217421

Nonsquares mod 42. A28755