What are the numbers divisible by 816?

816, 1632, 2448, 3264, 4080, 4896, 5712, 6528, 7344, 8160, 8976, 9792, 10608, 11424, 12240, 13056, 13872, 14688, 15504, 16320, 17136, 17952, 18768, 19584, 20400, 21216, 22032, 22848, 23664, 24480, 25296, 26112, 26928, 27744, 28560, 29376, 30192, 31008, 31824, 32640, 33456, 34272, 35088, 35904, 36720, 37536, 38352, 39168, 39984, 40800, 41616, 42432, 43248, 44064, 44880, 45696, 46512, 47328, 48144, 48960, 49776, 50592, 51408, 52224, 53040, 53856, 54672, 55488, 56304, 57120, 57936, 58752, 59568, 60384, 61200, 62016, 62832, 63648, 64464, 65280, 66096, 66912, 67728, 68544, 69360, 70176, 70992, 71808, 72624, 73440, 74256, 75072, 75888, 76704, 77520, 78336, 79152, 79968, 80784, 81600, 82416, 83232, 84048, 84864, 85680, 86496, 87312, 88128, 88944, 89760, 90576, 91392, 92208, 93024, 93840, 94656, 95472, 96288, 97104, 97920, 98736, 99552

There is a total of 122 numbers (up to 100000) that are divisible by 816.
The sum of these numbers is 6122448.
The arithmetic mean of these numbers is 50184.

How to find the numbers divisible by 816?

Finding all the numbers that can be divided by 816 is essentially the same as searching for the multiples of 816: if a number N is a multiple of 816, then 816 is a divisor of N.

Indeed, if we assume that N is a multiple of 816, this means there exists an integer k such that:

$k \times 816 = N$

Conversely, the result of N divided by 816 is this same integer k (without any remainder):

$k = \frac{N}{816}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 816 (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 816 less than 100000):

1 × 816 = 816
2 × 816 = 1632
3 × 816 = 2448
...
121 × 816 = 98736
122 × 816 = 99552