Reply To: Significance of 40 Days?

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#717217

i have no idea what this means but someone might find it interesting:

Forty is an octagonal number, and as the sum of the first four pentagonal numbers, it is a pentagonal pyramidal number. Adding up some subsets of its divisors (e.g., 1, 4, 5, 10 and 20) gives 40, hence 40 is a semiperfect number.

Given 40, the Mertens function returns 0. 40 is the smallest number n with exactly 9 solutions to the equation ?(x) = n.

Forty is the number of n-queens problem solutions for n = 7.

40 is a repdigit in base 3 (1111) and a Harshad number in base 10.