Problem #9
Let
p
(
n
) denote the product of the
nonzero
digits of
n
. For example,
p
(5) = 5,
p
(37) = 21, and
p
(604) = 24. Without resorting to a computer, evaluate
p
(1) +
p
(2) +
p
(3) + ... +
p
(999999).
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