26, known as Fermat's Sandwich Theorem.
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There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.
It is the smallest composite number that is both a perfect square and a perfect cube.
64EDIT: Someone suggested any even number multiplied by itself, but this is not true as the result would not be a cube number. The only number that satisfies the criteria in the question is 64, because;it has 2 digitsit is a square number (8 x 8 = 64)it is a cube number (4 x 4 x 4 = 64)
none 3 x 3 x 3 = 27 4 x 4 x 4 = 64 ---------------------------- Every number has a cube root, just most of them are not whole numbers, so every number between 30 and 50 is a cube. If you meant what the perfect cube numbers (ie the cubes of whole numbers) between 30 and 50, then the answer is, as above, none.
It is: 343