Properties of the Number 26752

Twenty-Six Thousand Seven Hundred Fifty-Two

Basics

Value: 26751 → 26752 → 26753

Parity: even

Prime: No

Previous Prime: 26737

Next Prime: 26759

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁷ × 11 × 19

Divisors: 1, 2, 4, 8, 11, 16, 19, 22, 32, 38

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 110100010000000

Octal: 64200

Duodecimal: 13594

Hexadecimal: 6880

Square: 715669504

Square Root: 163.56038640208698

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) = (n+1)*(n²+n+2)/2; g.f.: (1 + 2·x²) / (1 - x)⁴. A6000

Numbers whose product of prime indices is twice their sum of prime indices. A326151

Numbers with prime signature {7,1,1}, i.e., of form p⁷*q·r with p, q and r distinct primes. A179696

40-gonal numbers: a(n) = 38·n*(n-1)/2 + n. A261191

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 149", based on the 5-celled von Neumann neighborhood. A279180

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that ∑_i=1..k-1{σ(∑_j=1..i{d_j*10^j-1})} = ∑_i=1..k-1{φ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A244068

Indices of centered pentagonal numbers (A005891) which are also octagonal numbers (A000567). A253922

Decimal representation of the middle column of the "Rule 126" elementary cellular automaton starting with a single ON (black) cell. A267367

Practical numbers q with q + 2 and q² + 2 both practical. A294225

Regular triangle where T(n,k) is the number of inequivalent colorings of free pure symmetric multifunctions (with empty expressions allowed) with n positions and k leaves. A304485