There is a number which has 8 divisors including, 8, itself, and 1.
There is also a number which has 18 divisors, including 18, itself and 1.
The difference between these numbers is 28.
What are the two numbers?
(In reply to
re: Solution by Charlie)
Charlie, you are correct.
Both 1*[a*a]*[b*b*b*b*b] and 1*[a*a]*[b*b]*[c], where a, b, c are distinct and > 1 will each produce 18 different positive factors. And only where a, b, and c is 2, 3, and c >= 3 has any candidates for the solution.

Posted by Dej Mar
on 20060919 03:21:01 