What are the numbers divisible by 2052?

2052, 4104, 6156, 8208, 10260, 12312, 14364, 16416, 18468, 20520, 22572, 24624, 26676, 28728, 30780, 32832, 34884, 36936, 38988, 41040, 43092, 45144, 47196, 49248, 51300, 53352, 55404, 57456, 59508, 61560, 63612, 65664, 67716, 69768, 71820, 73872, 75924, 77976, 80028, 82080, 84132, 86184, 88236, 90288, 92340, 94392, 96444, 98496

There is a total of 48 numbers (up to 100000) that are divisible by 2052.
The sum of these numbers is 2413152.
The arithmetic mean of these numbers is 50274.

How to find the numbers divisible by 2052?

Finding all the numbers that can be divided by 2052 is essentially the same as searching for the multiples of 2052: if a number N is a multiple of 2052, then 2052 is a divisor of N.

Indeed, if we assume that N is a multiple of 2052, this means there exists an integer k such that:

$k \times 2052 = N$

Conversely, the result of N divided by 2052 is this same integer k (without any remainder):

$k = \frac{N}{2052}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2052 (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 2052 less than 100000):

1 × 2052 = 2052
2 × 2052 = 4104
3 × 2052 = 6156
...
47 × 2052 = 96444
48 × 2052 = 98496