Properties of the Number 26978

Twenty-Six Thousand Nine Hundred Seventy-Eight

Basics

Value: 26977 → 26978 → 26979

Parity: even

Prime: No

Previous Prime: 26959

Next Prime: 26981

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 41 × 47

Divisors: 1, 2, 7, 14, 41, 47, 82, 94, 287, 329

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100101100010

Octal: 64542

Duodecimal: 13742

Hexadecimal: 6962

Square: 727812484

Square Root: 164.2498097411379

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

Number of twice-partitions of n into odd-length partitions. A358334

Expansion of e.g.f. exp(∑_k>=1 d(k)*x^k/k!), where d(k) is the number of divisors of k (A000005). A295739

Expansion of ∑_k>=0 (x * (1 + (k·x)³))^k. A360747

Numbers k such that sopf(k) = sopf(k+2), where sopf(k) = A008472(k). A63968

Cyclically smooth Lyndon words with 7 colors. A215338

Numbers k such that Fibonacci(k) == +-1 (mod k) and k is neither 1 nor prime nor twice a prime. A279072

Numbers m such that abs(K(m+1) - K(m)) = 1, where K(m) = A002034(m) is the Kempner function. A346211

Expansion of 1/(1-x²-x³-x⁴-x⁵-x⁶-x⁷-x⁸-x⁹-x¹⁰). A13987

The row sums of the ED3 array A167572 read by antidiagonals. A167579

a(n) = greatest number of unrestricted partitions between successive strict partitions of n, with partitions listed in Mathematica order. A366883