Properties of the Number 36828

Thirty-Six Thousand Eight Hundred Twenty-Eight

Basics

Value: 36827 → 36828 → 36829

Parity: even

Prime: No

Previous Prime: 36821

Next Prime: 36833

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 11 × 31

Divisors: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111111011100

Octal: 107734

Duodecimal: 19390

Hexadecimal: 8fdc

Square: 1356301584

Square Root: 191.9062271006337

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

a(n) = floor(n*φ¹⁵), where φ is the golden ratio, A001622. A4930

Numbers that have exactly seven prime factors counted with multiplicity (A046308) whose digit reversal is different and also has 7 prime factors (with multiplicity). A109027

Nonpalindromic numbers k such that k is not divisible by 10 and k·R(k) is a square, where R(k) is the reversal of k (A004086). A62917

Numbers k such that all the following properties hold: (i) k·reverse(k) is a square; (ii) k ≠ reverse(k); (iii) k and reverse(k) are not both squares; and (iv) k and reverse(k) have the same number of digits. A82994

Expansion of e.g.f. cos( 2 * (exp(x) - 1) ). A357727

Numbers m such that m² + p² = k², with p > 0, where p = A007954(m) = the product of digits of m. A334558

Sum of binary numbers with n 1's and two (possibly leading) 0's. A59937

a(n) = round(n*φ¹⁵), where φ is the golden ratio, A001622. A4950

Reverse of largest prime factor of n = smallest prime factor of n+1; a(1)=1. A71393

G.f. is the polynomial (1-x³) * (1-x⁶) * (1-x⁹) * (1-x¹²) * (1-x¹⁵) * (1-x¹⁸) * (1-x²¹) * (1-x²⁴) * (1-x²⁷) / (1-x)⁹. A162602