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There are two.
From 1 to 50, you have the following perfect cubes: 13 = 1 23 = 8 33 = 27 The next perfect cube (43 = 64) is outside the specified range.
1, 8, and 27 are.
The cube root of 5000 is approx 17.1 So the numbers 1 to 17 have cubes which are smaller than 5000 that is, there are 17 such numbers.
1, 8, 27, 64, 125