A175756 Numbers with 50 divisors.

6480, 9072, 14256, 16848, 22032, 24624, 29808, 30000, 37584, 40176, 41472, 47952, 53136, 55728, 60912, 68688, 70000, 76464, 79056, 86832, 92016, 94608, 101250, 102384, 107568, 110000, 115248, 115344, 125712, 130000, 130896, 133488

Offset

1,1

Comments

Numbers of the forms p^49, p^24*q^1, p^9*q^4 and p^4*q^4*r^1 (A190012), where p, q and r are distinct primes.

Links

T. D. Noe, Table of n, a(n) for n = 1..1000

OEIS Wiki, Index entries for number of divisors

Formula

A000005(a(n))=50.

Mathematica

Select[Range[200000], DivisorSigma[0, #] == 50 &] (* Vladimir Joseph Stephan Orlovsky, May 04 2011 *)

Prog

(PARI) is(n)=numdiv(n)==50 \\ Charles R Greathouse IV, Jun 19 2016

Crossrefs

Cf. A137484, A137488, A175750.

Sequence in context: A232410 A331977 A339598 * A190012 A362878 A087351

Adjacent sequences: A175753 A175754 A175755 * A175757 A175758 A175759

Keyword

nonn

Author

Jaroslav Krizek, Aug 27 2010

Status

approved