[2^(4)], [3^(3)], [5^(2)], [7^(3)], [53^(1)], [83^(1)] are the prime factors.
1^2, 2^2, 4^2, 3^2, 5^2, 7^2,
2^2*4^2, 2^2*3^2, 2^2*5^2, 2^2*7^2, 4^2*3^2, 4^2*5^2, 4^2*7^2, 3^2*5^2, 3^2*7^2, 5^2*7^2........... & so on
So there are 6 + 5C2 + 5C3 + 5C4 + 5C5 perfect sqaures = 6 + 10 + 10 + 5 + 1 = 32 Perfect Squares.