What are the numbers divisible by 4064?

4064, 8128, 12192, 16256, 20320, 24384, 28448, 32512, 36576, 40640, 44704, 48768, 52832, 56896, 60960, 65024, 69088, 73152, 77216, 81280, 85344, 89408, 93472, 97536

There is a total of 24 numbers (up to 100000) that are divisible by 4064.
The sum of these numbers is 1219200.
The arithmetic mean of these numbers is 50800.

How to find the numbers divisible by 4064?

Finding all the numbers that can be divided by 4064 is essentially the same as searching for the multiples of 4064: if a number N is a multiple of 4064, then 4064 is a divisor of N.

Indeed, if we assume that N is a multiple of 4064, this means there exists an integer k such that:

$k \times 4064 = N$

Conversely, the result of N divided by 4064 is this same integer k (without any remainder):

$k = \frac{N}{4064}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4064 (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 4064 less than 100000):

1 × 4064 = 4064
2 × 4064 = 8128
3 × 4064 = 12192
...
23 × 4064 = 93472
24 × 4064 = 97536