A175751 Numbers with 44 divisors.

15360, 21504, 27648, 33792, 35840, 39936, 52224, 56320, 58368, 66560, 70656, 78848, 87040, 89088, 93184, 95232, 97280, 113664, 117760, 121856, 125952, 128000, 132096, 136192, 144384, 146432, 148480, 158720, 162816, 164864, 181248, 187392

Offset

1,1

Comments

Numbers of the forms p^43, p^21*q^1, p^10*q^3 and p^10*q^1*r^1, 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))=44.

Mathematica

Select[Range[300000], DivisorSigma[0, #]==44&] (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)

Prog

(PARI) is(n)=numdiv(n)==44 \\ Charles R Greathouse IV, Jun 19 2016

Crossrefs

Cf. A175748, A175749, A139574.

Sequence in context: A258572 A352477 A232382 * A054834 A232893 A054835

Adjacent sequences: A175748 A175749 A175750 * A175752 A175753 A175754

Keyword

nonn

Author

Jaroslav Krizek, Aug 27 2010

Status

approved