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---
id: 5900f3aa1000cf542c50febd
challengeType: 5
title: 'Problem 62: Cubic permutations'
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forumTopicId: 302174
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---
## Description
<section id='description'>
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The cube, 41063625 (345<sup>3</sup>), can be permuted to produce two other cubes: 56623104 (384<sup>3</sup>) and 66430125 (405<sup>3</sup>). In fact, 41063625 is the smallest cube which has exactly three permutations of its digits which are also cube.
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Find the smallest cube for which exactly five permutations of its digits are cube.
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</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
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tests:
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- text: <code>cubicPermutations()</code> should return a number.
testString: assert(typeof cubicPermutations() === 'number');
- text: <code>cubicPermutations()</code> should return 127035954683.
testString: assert.strictEqual(cubicPermutations(), 127035954683);
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```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
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function cubicPermutations() {
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return true;
}
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cubicPermutations();
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```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
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</section>