MathDB

(056) O4

Part of 1984 Tournament Of Towns

Problems(1)

TOT 056 1984 Spring J-O4 P(P(N))+P(S(N))+S(P(N))+S(S(N))=1984

Source:

8/19/2019
The product of the digits of the natural number NN is denoted by P(N)P(N) whereas the sum of these digits is denoted by S(N)S(N). How many solutions does the equation P(P(N))+P(S(N))+S(P(N))+S(S(N))=1984P(P(N)) + P(S(N)) + S(P(N)) + S(S(N)) = 1984 have?
number theorysum of digitsproduct of digitsDigits