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)

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Posted by Ady TZIDON on 2014-01-27 12:51:05