Problem...

[HMSSHM]

Hello everybody, I'm new, so can you answer me this one?

How many positive perfect squares less than 10^{6} are multiples of 24?

[Logophobic]

Let's see... 24 = 2^3 * 3, so the smallest perfect square that is a multiple of 24 would have to be 2^4 * 3^2 = 144 = 12^2. That's the first one. The second one would be 12^2 * 2^2...