40. The steamship has $a$ funnels, $b$ screws, and $c$ people on board. It set off on the $n$-th day, $k$-th month, of the year $(1900+p)$. The product of the six numbers $a$, $b$, $c$, $n$, $k$, $p$, increased by the number whose cube is the captain's age in years, equals 4752862. Determine the unknowns.
40. Since $2^{3}=8,3^{3}=27,4^{3}=64,5^{3}=125$, it is clear that the captain is either 27 years old or 64 years old. If the captain is 64 years old, then from the number 4752862, 4 should be subtracted and the resulting number should be factored into 6 factors ( $4752862-4=$ $=4752858 ; 4752858=2 \cdot 3 \cdot 11 \cdot 23 \cdot 31 \cdot 101$ ). From this, it follows that the most plausible answer could be: the ship has 2 propellers, 3 funnels, 101 people on board, and it set sail on November 23, 1931. Checking shows that the captain being 27 years old does not satisfy the condition.