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A175748
Numbers with 39 divisors.
3
36864, 102400, 200704, 495616, 692224, 1183744, 1478656, 2125764, 2166784, 3444736, 3936256, 5607424, 6885376, 7573504, 9048064, 11505664, 13286025, 14258176, 15241216, 18386944, 20647936, 21827584, 25563136, 26040609, 28217344, 32444416, 38539264, 41783296
OFFSET
1,1
COMMENTS
Numbers of the forms p^38 and p^12*q^2, where p and q are distinct primes.
FORMULA
A000005(a(n)) = 39.
Sum_{n>=1} 1/a(n) = P(2)*P(12) - P(14) + P(38) = 0.0000500204..., where P is the prime zeta function. - Amiram Eldar, Jul 03 2022
MATHEMATICA
Select[Range[7000000], DivisorSigma[0, #]==39&] (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)
PROG
(PARI) is(n)=numdiv(n)==39 \\ Charles R Greathouse IV, Jun 19 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Aug 27 2010
EXTENSIONS
Extended by T. D. Noe, May 08 2011
STATUS
approved