Properties of the Number 51688

Fifty-One Thousand Six Hundred Eighty-Eight

Basics

Value: 51687 → 51688 → 51689

Parity: even

Prime: No

Previous Prime: 51683

Next Prime: 51691

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 7 × 13 × 71

Divisors: 1, 2, 4, 7, 8, 13, 14, 26, 28, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100111101000

Octal: 144750

Duodecimal: 25AB4

Hexadecimal: c9e8

Square: 2671649344

Square Root: 227.3499505168189

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

Numbers n such that σ(n) = 6*φ(n). A104900

Larger of amicable pair m < n defined by t(n) = m and t(m) = n where t(n) = ψ(n) - n and ψ(n) = A001615(n) is the Dedekind ψ function. A323330

Numbers that are the sum of five fifth powers in two or more ways. A342685

Numbers that are the sum of five fifth powers in exactly two ways. A342686

Numbers that are the sum of four third powers in eight or more ways. A345152

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 0,2,1,0,0 for x=0,1,2,3,4. A198185

Numbers that are the sum of four third powers in nine or more ways. A345146

Numbers that are the sum of four third powers in exactly nine ways. A345154

Number T(n,k) of modified skew Dyck paths of semilength n with exactly k anti-down steps; triangle T(n,k), n>=0, 0<=k<=n-floor((1+sqrt(max(0,8n-7)))/2), read by rows. A274404

Number of ways of arranging n chords on a circle (handshakes between 2n people across a table) with exactly 3 simple intersections. A232224