What are the numbers divisible by 2032?

2032, 4064, 6096, 8128, 10160, 12192, 14224, 16256, 18288, 20320, 22352, 24384, 26416, 28448, 30480, 32512, 34544, 36576, 38608, 40640, 42672, 44704, 46736, 48768, 50800, 52832, 54864, 56896, 58928, 60960, 62992, 65024, 67056, 69088, 71120, 73152, 75184, 77216, 79248, 81280, 83312, 85344, 87376, 89408, 91440, 93472, 95504, 97536, 99568

There is a total of 49 numbers (up to 100000) that are divisible by 2032.
The sum of these numbers is 2489200.
The arithmetic mean of these numbers is 50800.

How to find the numbers divisible by 2032?

Finding all the numbers that can be divided by 2032 is essentially the same as searching for the multiples of 2032: if a number N is a multiple of 2032, then 2032 is a divisor of N.

Indeed, if we assume that N is a multiple of 2032, this means there exists an integer k such that:

$k \times 2032 = N$

Conversely, the result of N divided by 2032 is this same integer k (without any remainder):

$k = \frac{N}{2032}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2032 (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 2032 less than 100000):

1 × 2032 = 2032
2 × 2032 = 4064
3 × 2032 = 6096
...
48 × 2032 = 97536
49 × 2032 = 99568