What are the numbers divisible by 5072?

5072, 10144, 15216, 20288, 25360, 30432, 35504, 40576, 45648, 50720, 55792, 60864, 65936, 71008, 76080, 81152, 86224, 91296, 96368

There is a total of 19 numbers (up to 100000) that are divisible by 5072.
The sum of these numbers is 963680.
The arithmetic mean of these numbers is 50720.

How to find the numbers divisible by 5072?

Finding all the numbers that can be divided by 5072 is essentially the same as searching for the multiples of 5072: if a number N is a multiple of 5072, then 5072 is a divisor of N.

Indeed, if we assume that N is a multiple of 5072, this means there exists an integer k such that:

$k \times 5072 = N$

Conversely, the result of N divided by 5072 is this same integer k (without any remainder):

$k = \frac{N}{5072}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5072 (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 5072 less than 100000):

1 × 5072 = 5072
2 × 5072 = 10144
3 × 5072 = 15216
...
18 × 5072 = 91296
19 × 5072 = 96368