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Oh, dude, there are four perfect cubes between 1 and 50. You've got 1^3, which is 1; 2^3, which is 8; 3^3, which is 27; and 4^3, which is 64, but we don't count that one because it's over 50. So yeah, four perfect cubes in that range. Math can be cool, I guess.
43 = 64 53 = 125 63 = 216 73 = 343
The only perfect number between 20 and 50 is 28.
There are 24 perfect squares between 50 and 1000.
It is 100 that is a perfect square between 50 and 150
72 = 49 < 50 < 64 = 82 and 122 = 144 < 150 < 169 = 132