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

1,1

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

Formula

A000005(a(n))=46.

Mathematica

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

Prog

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

Crossrefs

Cf. A139574, A175751, A175752.

Sequence in context: A102335 A083405 A147749 * A251472 A256734 A237034

Adjacent sequences: A175750 A175751 A175752 * A175754 A175755 A175756

Keyword

nonn

Author

Jaroslav Krizek, Aug 27 2010

Extensions

Extended by T. D. Noe, May 08 2011

Status

approved