Sum of Products of Digits
Let `P(n)` denote the product of the digits of the number `n`. For example, `P(1948) = 1 * 9 * 4 * 8 = 288`.
A.
Calculate `P(1) + P(2) + P(3) + ... + P(2016)`
B.
Find the maximum value of `{P(n)} /n`, where `2016 <= n <= 5777`.
(Solution format: "x, y/z" where y/z is an unreduced fraction. For example "10000, 35/100")
Difficulty level (1 very easy - 10 very hard): 3
Topics:
Arithmetic
Algebra
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Word Problems
Combinatorics
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Number Tables
Number Theory
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Division
- Gillis Mathematical Olympiad, 2016-2017 Question 2
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