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Properties of the Number -470288

Four Hundred Seventy Thousand Two Hundred Eighty-Eight

Basics

Value: -470289 → -470288 → -470287

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 4 × 7 × 13 × 17 × 19

Divisors: 1, 2, 4, 7, 8, 13, 14, 16, 17, 19

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4938 Try Today's Challenge

Representations

Binary: -1110010110100010000

Octal: -1626420

Duodecimal: -1A81A8

Hexadecimal: -72d10

Square: 221170802944

Square Root: 685.7754734605197

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

G.f. A(x) = 1 + 4·x*A(x)1/2; A(x) = 1 + 8·x2 + 4·x*sqrt(1 + 4·x2). A135863
Denominators of third-order harmonic numbers (defined by Conway and Guy, 1996). A124838
Denominator of ∑k=1..n k·Hn+k where Hm = ∑i=1..m 1/i. A144655
Denominator of sum of reciprocals of numbers less than n that do not divide n. A281086
a(n) = floor(n!*(3·floor(n/2)!*ceiling(n/2)! + 3·floor((n+2)/2)!*ceiling((n-2)/2)! - 6·floor(n/2)!*ceiling((n-2)/2)!)-1). A366109
a(n) is the difference between maximal and central squarefree kernel numbers dividing values of {binomial(n,k)} or A001405(n), respectively. A48682
Tenth column of (1,5)-Pascal triangle A096940. A96947
Denominator of sum of all elements M(i,j,k) = i·j/k, (i,j,k = 1..n). a(n) = Denominator[Sum[Sum[Sum[i·j/k,{i,1,n}],{j,1,n}],{k,1,n}]]. A99866
an = - ∑i=1..n-1 C(i+1, n-i) (-1)n-i ai. A28380