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Problem 62


Problem 62


Cubic permutations

The cube, 41063625 (3453), can be permuted to produce two other cubes: 56623104 (3843) and 66430125 (4053). In fact, 41063625 is the smallest cube which has exactly three permutations of its digits which are also cube.

Find the smallest cube for which exactly five permutations of its digits are cube.


立方数重排

立方数41063625(3453)可以重排为另外两个立方数:56623104(3843)和66430125(4053)。实际上,41063625是重排中恰好有三个立方数的最小立方数。

求重排中恰好有五个立方数的最小立方数。