What are the numbers divisible by 2012?

2012, 4024, 6036, 8048, 10060, 12072, 14084, 16096, 18108, 20120, 22132, 24144, 26156, 28168, 30180, 32192, 34204, 36216, 38228, 40240, 42252, 44264, 46276, 48288, 50300, 52312, 54324, 56336, 58348, 60360, 62372, 64384, 66396, 68408, 70420, 72432, 74444, 76456, 78468, 80480, 82492, 84504, 86516, 88528, 90540, 92552, 94564, 96576, 98588

There is a total of 49 numbers (up to 100000) that are divisible by 2012.
The sum of these numbers is 2464700.
The arithmetic mean of these numbers is 50300.

How to find the numbers divisible by 2012?

Finding all the numbers that can be divided by 2012 is essentially the same as searching for the multiples of 2012: if a number N is a multiple of 2012, then 2012 is a divisor of N.

Indeed, if we assume that N is a multiple of 2012, this means there exists an integer k such that:

$k \times 2012 = N$

Conversely, the result of N divided by 2012 is this same integer k (without any remainder):

$k = \frac{N}{2012}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2012 (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 2012 less than 100000):

1 × 2012 = 2012
2 × 2012 = 4024
3 × 2012 = 6036
...
48 × 2012 = 96576
49 × 2012 = 98588