For all three parts, consider integers with all of the following properties:
- the SOD(n^2) is also a square
- the SOD(n^3) is also a cube
- the SOD(n^4) is also a fourth power
- n is NOT a power of 10

Please find A, B, and C where:
(Part 1) A is the smallest such integer.
(Part 2) B is the smallest such integer whose first digit is different than the first digit of A.
(Part 3) C is the smallest such integer whose first digit is different than the first digit of A or B.

** SOD(n) is the Sum Of Digits of n