What are the numbers divisible by 2028?

2028, 4056, 6084, 8112, 10140, 12168, 14196, 16224, 18252, 20280, 22308, 24336, 26364, 28392, 30420, 32448, 34476, 36504, 38532, 40560, 42588, 44616, 46644, 48672, 50700, 52728, 54756, 56784, 58812, 60840, 62868, 64896, 66924, 68952, 70980, 73008, 75036, 77064, 79092, 81120, 83148, 85176, 87204, 89232, 91260, 93288, 95316, 97344, 99372

There is a total of 49 numbers (up to 100000) that are divisible by 2028.
The sum of these numbers is 2484300.
The arithmetic mean of these numbers is 50700.

How to find the numbers divisible by 2028?

Finding all the numbers that can be divided by 2028 is essentially the same as searching for the multiples of 2028: if a number N is a multiple of 2028, then 2028 is a divisor of N.

Indeed, if we assume that N is a multiple of 2028, this means there exists an integer k such that:

$k \times 2028 = N$

Conversely, the result of N divided by 2028 is this same integer k (without any remainder):

$k = \frac{N}{2028}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2028 (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 2028 less than 100000):

1 × 2028 = 2028
2 × 2028 = 4056
3 × 2028 = 6084
...
48 × 2028 = 97344
49 × 2028 = 99372