What are the numbers divisible by 4032?

4032, 8064, 12096, 16128, 20160, 24192, 28224, 32256, 36288, 40320, 44352, 48384, 52416, 56448, 60480, 64512, 68544, 72576, 76608, 80640, 84672, 88704, 92736, 96768

There is a total of 24 numbers (up to 100000) that are divisible by 4032.
The sum of these numbers is 1209600.
The arithmetic mean of these numbers is 50400.

How to find the numbers divisible by 4032?

Finding all the numbers that can be divided by 4032 is essentially the same as searching for the multiples of 4032: if a number N is a multiple of 4032, then 4032 is a divisor of N.

Indeed, if we assume that N is a multiple of 4032, this means there exists an integer k such that:

$k \times 4032 = N$

Conversely, the result of N divided by 4032 is this same integer k (without any remainder):

$k = \frac{N}{4032}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4032 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 4032 less than 100000):

1 × 4032 = 4032
2 × 4032 = 8064
3 × 4032 = 12096
...
23 × 4032 = 92736
24 × 4032 = 96768