What are the numbers divisible by 2008?

2008, 4016, 6024, 8032, 10040, 12048, 14056, 16064, 18072, 20080, 22088, 24096, 26104, 28112, 30120, 32128, 34136, 36144, 38152, 40160, 42168, 44176, 46184, 48192, 50200, 52208, 54216, 56224, 58232, 60240, 62248, 64256, 66264, 68272, 70280, 72288, 74296, 76304, 78312, 80320, 82328, 84336, 86344, 88352, 90360, 92368, 94376, 96384, 98392

There is a total of 49 numbers (up to 100000) that are divisible by 2008.
The sum of these numbers is 2459800.
The arithmetic mean of these numbers is 50200.

How to find the numbers divisible by 2008?

Finding all the numbers that can be divided by 2008 is essentially the same as searching for the multiples of 2008: if a number N is a multiple of 2008, then 2008 is a divisor of N.

Indeed, if we assume that N is a multiple of 2008, this means there exists an integer k such that:

$k \times 2008 = N$

Conversely, the result of N divided by 2008 is this same integer k (without any remainder):

$k = \frac{N}{2008}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2008 (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 2008 less than 100000):

1 × 2008 = 2008
2 × 2008 = 4016
3 × 2008 = 6024
...
48 × 2008 = 96384
49 × 2008 = 98392