What are the numbers divisible by 2050?

2050, 4100, 6150, 8200, 10250, 12300, 14350, 16400, 18450, 20500, 22550, 24600, 26650, 28700, 30750, 32800, 34850, 36900, 38950, 41000, 43050, 45100, 47150, 49200, 51250, 53300, 55350, 57400, 59450, 61500, 63550, 65600, 67650, 69700, 71750, 73800, 75850, 77900, 79950, 82000, 84050, 86100, 88150, 90200, 92250, 94300, 96350, 98400

There is a total of 48 numbers (up to 100000) that are divisible by 2050.
The sum of these numbers is 2410800.
The arithmetic mean of these numbers is 50225.

How to find the numbers divisible by 2050?

Finding all the numbers that can be divided by 2050 is essentially the same as searching for the multiples of 2050: if a number N is a multiple of 2050, then 2050 is a divisor of N.

Indeed, if we assume that N is a multiple of 2050, this means there exists an integer k such that:

$k \times 2050 = N$

Conversely, the result of N divided by 2050 is this same integer k (without any remainder):

$k = \frac{N}{2050}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2050 (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 2050 less than 100000):

1 × 2050 = 2050
2 × 2050 = 4100
3 × 2050 = 6150
...
47 × 2050 = 96350
48 × 2050 = 98400