Between the two numbers there are only two.
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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