Product of Digits
For a natural number `x`, let `P(x)` denote the product of the digits of `x`, and let `S(x)` denote the sum of the digits of `x`.
How many solutions are there to the equation:
`P(P(x))+P(S(x))+S(P(x))+S(S(x))=1984`
Sources:
- Tournament of Towns, 1983-1984, Fall, Practice Version, Grades 9-10 Question 4 Points 8
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