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A175752 Numbers with 45 divisors. 3
3600, 7056, 8100, 15876, 17424, 19600, 20736, 22500, 24336, 39204, 41616, 48400, 51984, 54756, 67600, 76176, 86436, 93636, 94864, 99225, 104976, 115600, 116964, 121104, 122500, 132496, 138384, 144400, 147456, 160000, 171396, 197136 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Numbers of the forms p^44, p^14*q^2, p^8*q^4 and p^4*q^2*r^2, 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))=45.

MATHEMATICA

Select[Range[400000], DivisorSigma[0, #]==45&] (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)

PROG

(PARI) is(n)=numdiv(n)==45 \\ Charles R Greathouse IV, Jun 19 2016

CROSSREFS

Cf. A139574, A175751.

Sequence in context: A157857 A141781 A216682 * A179746 A096472 A306492

Adjacent sequences:  A175749 A175750 A175751 * A175753 A175754 A175755

KEYWORD

nonn

AUTHOR

Jaroslav Krizek, Aug 27 2010

STATUS

approved

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Last modified October 16 08:50 EDT 2019. Contains 328056 sequences. (Running on oeis4.)