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Numbers m equal to the product of all of their integral proper roots (defined as numbers k in the range 1 < k < m such that k^j = m for some j).
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%I #30 Jun 09 2022 21:53:08

%S 64,729,15625,46656,117649,1000000,1771561,2985984,4826809,7529536,

%T 11390625,24137569,34012224,47045881,64000000,85766121,113379904,

%U 148035889,191102976,268435456,308915776,481890304,594823321,729000000,887503681,1291467969,1544804416,1838265625

%N Numbers m equal to the product of all of their integral proper roots (defined as numbers k in the range 1 < k < m such that k^j = m for some j).

%C Numbers of the form a^b where a is a number that is not a perfect power and b is a perfect number (equal to the sum of its divisors). In other words, A007916^A000396.

%e 64 is a term because its roots are 2, 4, and 8, and 2*4*8 = 64.

%Y Cf. A000396, A007916.

%K nonn

%O 1,1

%A _J. Lowell_, Apr 13 2014

%E More terms from _Jinyuan Wang_, Jun 19 2021