A175753 Numbers with 46 divisors.

12582912, 20971520, 29360128, 46137344, 54525952, 71303168, 79691776, 96468992, 121634816, 130023424, 155189248, 171966464, 180355072, 197132288, 222298112, 247463936, 255852544, 281018368, 297795584, 306184192, 331350016, 348127232, 373293056, 406847488

Offset: 1

Author

Jaroslav Krizek, Aug 27 2010

Keywords

• nonn

Comments

Numbers of the forms p^45 and p^22*q^1, where p and q are distinct primes.

Links

• T. D. Noe, Table of n, a(n) for n = 1..1000
• OEIS Wiki, Index entries for number of divisors

Crossrefs

Cf. A139574, A175751, A175752.

Programs

Mathematica

Select[Range[80000000],DivisorSigma[0,#]==46&] (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)

PARI

is(n)=numdiv(n)==46 \\ Charles R Greathouse IV, Jun 19 2016

Formula

A000005(a(n))=46.

Extensions

Extended by T. D. Noe, May 08 2011