A175756 - OEIS

%I #21 May 05 2023 08:34:02

%S 6480,9072,14256,16848,22032,24624,29808,30000,37584,40176,41472,

%T 47952,53136,55728,60912,68688,70000,76464,79056,86832,92016,94608,

%U 101250,102384,107568,110000,115248,115344,125712,130000,130896,133488

%N Numbers with 50 divisors.

%C Numbers of the forms p^49, p^24*q^1, p^9*q^4 and p^4*q^4*r^1 (A190012), where p, q and r are distinct primes.

%H T. D. Noe, <a href="/A175756/b175756.txt">Table of n, a(n) for n = 1..1000</a>

%H OEIS Wiki, <a href="https://oeis.org/wiki/Index_entries_for_number_of_divisors">Index entries for number of divisors</a>

%F A000005(a(n))=50.

%t Select[Range[200000], DivisorSigma[0, #] == 50 &] (* _Vladimir Joseph Stephan Orlovsky_, May 04 2011 *)

%o (PARI) is(n)=numdiv(n)==50 \\ _Charles R Greathouse IV_, Jun 19 2016

%Y Cf. A137484, A137488, A175750.

%K nonn

%O 1,1

%A _Jaroslav Krizek_, Aug 27 2010