What are the numbers divisible by 8049?

8049, 16098, 24147, 32196, 40245, 48294, 56343, 64392, 72441, 80490, 88539, 96588

There is a total of 12 numbers (up to 100000) that are divisible by 8049.
The sum of these numbers is 627822.
The arithmetic mean of these numbers is 52318.5.

How to find the numbers divisible by 8049?

Finding all the numbers that can be divided by 8049 is essentially the same as searching for the multiples of 8049: if a number N is a multiple of 8049, then 8049 is a divisor of N.

Indeed, if we assume that N is a multiple of 8049, this means there exists an integer k such that:

$k \times 8049 = N$

Conversely, the result of N divided by 8049 is this same integer k (without any remainder):

$k = \frac{N}{8049}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8049 (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 8049 less than 100000):

1 × 8049 = 8049
2 × 8049 = 16098
3 × 8049 = 24147
...
11 × 8049 = 88539
12 × 8049 = 96588