What are the numbers divisible by 4048?

4048, 8096, 12144, 16192, 20240, 24288, 28336, 32384, 36432, 40480, 44528, 48576, 52624, 56672, 60720, 64768, 68816, 72864, 76912, 80960, 85008, 89056, 93104, 97152

There is a total of 24 numbers (up to 100000) that are divisible by 4048.
The sum of these numbers is 1214400.
The arithmetic mean of these numbers is 50600.

How to find the numbers divisible by 4048?

Finding all the numbers that can be divided by 4048 is essentially the same as searching for the multiples of 4048: if a number N is a multiple of 4048, then 4048 is a divisor of N.

Indeed, if we assume that N is a multiple of 4048, this means there exists an integer k such that:

$k \times 4048 = N$

Conversely, the result of N divided by 4048 is this same integer k (without any remainder):

$k = \frac{N}{4048}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4048 (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 4048 less than 100000):

1 × 4048 = 4048
2 × 4048 = 8096
3 × 4048 = 12144
...
23 × 4048 = 93104
24 × 4048 = 97152