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A175754
Numbers with 48 divisors.
3
2520, 3360, 3780, 3960, 4200, 4320, 4620, 4680, 5280, 5400, 5460, 5544, 5760, 5880, 5940, 6048, 6120, 6240, 6552, 6600, 6840, 6930, 7020, 7140, 7392, 7800, 7980, 8064, 8160, 8190, 8280, 8316, 8568, 8580, 8736, 9000, 9120, 9180, 9450, 9504, 9576, 9600
OFFSET
1,1
COMMENTS
Numbers of the forms p^47, p^23*q^1, p^15*q^2, p^11*q^3, p^7*q^5, p^3*q^3*r^2, p^7*q^2*r^1, p^11*q^1*r^1, p^5*q^3*r^1, p^5*q^1*r^1*s^1, p^3*q^2*r^1*s^1 and p^2*q^1*r^1*s^1*t^1, where p, q, r, s and t are distinct primes.
FORMULA
A000005(a(n))=48.
MATHEMATICA
Select[Range[20000], DivisorSigma[0, #]==48&] (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)
PROG
(PARI) is(n)=numdiv(n)==48 \\ Charles R Greathouse IV, Jun 19 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Aug 27 2010
STATUS
approved