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 A175755 Numbers with 49 divisors. 5
 46656, 1000000, 7529536, 11390625, 85766121, 113379904, 308915776, 1291467969, 1544804416, 1838265625, 3010936384, 3518743761, 9474296896, 17596287801, 27680640625, 34296447249, 38068692544, 56800235584, 75418890625, 107918163081, 164206490176, 208422380089 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers of the forms p^48 and p^6*q^6, 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))=49. EXAMPLE a(1) = A114334(49); a(2) = A159765(49). MATHEMATICA Select[Range[100000000], DivisorSigma[0, #]==48&] (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *) PROG (Haskell) a175755 n = a175755_list !! (n-1) a175755_list = m (map (^ 48) a000040_list) (map (^ 6) a006881_list) where    m xs'@(x:xs) ys'@(y:ys) | x < y = x : m xs ys'                            | otherwise = y : m xs' ys -- Reinhard Zumkeller, Nov 29 2011 (PARI) is(n)=numdiv(n)==49 \\ Charles R Greathouse IV, Jun 19 2016 CROSSREFS Cf. A139575, A175754, A201266, A137488, A135581. Sequence in context: A057068 A223510 A251190 * A223562 A016866 A016914 Adjacent sequences:  A175752 A175753 A175754 * A175756 A175757 A175758 KEYWORD nonn AUTHOR Jaroslav Krizek, Aug 27 2010 EXTENSIONS Extended by T. D. Noe, May 08 2011 STATUS approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)