What are the numbers divisible by 9008?

9008, 18016, 27024, 36032, 45040, 54048, 63056, 72064, 81072, 90080, 99088

There is a total of 11 numbers (up to 100000) that are divisible by 9008.
The sum of these numbers is 594528.
The arithmetic mean of these numbers is 54048.

How to find the numbers divisible by 9008?

Finding all the numbers that can be divided by 9008 is essentially the same as searching for the multiples of 9008: if a number N is a multiple of 9008, then 9008 is a divisor of N.

Indeed, if we assume that N is a multiple of 9008, this means there exists an integer k such that:

$k \times 9008 = N$

Conversely, the result of N divided by 9008 is this same integer k (without any remainder):

$k = \frac{N}{9008}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9008 (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 9008 less than 100000):

1 × 9008 = 9008
2 × 9008 = 18016
3 × 9008 = 27024
...
10 × 9008 = 90080
11 × 9008 = 99088