Number Theory

2^4 * 5^5 ==16 x  3125 ==50,000

50,000==[1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000, 50000]>>Total = 30 divisors.

EVEN perfect squares==4, 16, 100, 400, 2,500, 10,000==Total of 6

Deleted because it was incorrect. Guest's answer is correct.