Project Euler

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# [[Problem 62]]

## Cubic Permutations

The cube, $41063625$ ($345^3$), can be permuted to produce two other cubes: $56623104$ ($384^3$) and $66430125$ ($405^3$). 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.

## 立方数置換

立方数 $41063625$ ($345^3$) は, 桁の順番を入れ替えると2つの立方数になる: $56623104$ ($384^3$) と $66430125$ ($405^3$) である. $41063625$は, 立方数になるような桁の置換をちょうど3つもつ最小の立方数である.

立方数になるような桁の置換をちょうど5つもつ最小の立方数を求めよ.

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