N is a m-th power of an integer.
It consists of n distinct digits, averaging n.

Find n,m and N, using your head + pen and paper only.

Check, whether there exist additional solutions (computer allowed).

Clearly, n>1; m>1 - to exclude trivial cases.

(In reply to Looking at my wall by Jer)

144, 225, 441 and 900 have repeated digits, while the puzzle requires distinct digits.

Posted by Charlie on 2014-01-27 13:36:49