What are the numbers divisible by 408?

408, 816, 1224, 1632, 2040, 2448, 2856, 3264, 3672, 4080, 4488, 4896, 5304, 5712, 6120, 6528, 6936, 7344, 7752, 8160, 8568, 8976, 9384, 9792, 10200, 10608, 11016, 11424, 11832, 12240, 12648, 13056, 13464, 13872, 14280, 14688, 15096, 15504, 15912, 16320, 16728, 17136, 17544, 17952, 18360, 18768, 19176, 19584, 19992, 20400, 20808, 21216, 21624, 22032, 22440, 22848, 23256, 23664, 24072, 24480, 24888, 25296, 25704, 26112, 26520, 26928, 27336, 27744, 28152, 28560, 28968, 29376, 29784, 30192, 30600, 31008, 31416, 31824, 32232, 32640, 33048, 33456, 33864, 34272, 34680, 35088, 35496, 35904, 36312, 36720, 37128, 37536, 37944, 38352, 38760, 39168, 39576, 39984, 40392, 40800, 41208, 41616, 42024, 42432, 42840, 43248, 43656, 44064, 44472, 44880, 45288, 45696, 46104, 46512, 46920, 47328, 47736, 48144, 48552, 48960, 49368, 49776, 50184, 50592, 51000, 51408, 51816, 52224, 52632, 53040, 53448, 53856, 54264, 54672, 55080, 55488, 55896, 56304, 56712, 57120, 57528, 57936, 58344, 58752, 59160, 59568, 59976, 60384, 60792, 61200, 61608, 62016, 62424, 62832, 63240, 63648, 64056, 64464, 64872, 65280, 65688, 66096, 66504, 66912, 67320, 67728, 68136, 68544, 68952, 69360, 69768, 70176, 70584, 70992, 71400, 71808, 72216, 72624, 73032, 73440, 73848, 74256, 74664, 75072, 75480, 75888, 76296, 76704, 77112, 77520, 77928, 78336, 78744, 79152, 79560, 79968, 80376, 80784, 81192, 81600, 82008, 82416, 82824, 83232, 83640, 84048, 84456, 84864, 85272, 85680, 86088, 86496, 86904, 87312, 87720, 88128, 88536, 88944, 89352, 89760, 90168, 90576, 90984, 91392, 91800, 92208, 92616, 93024, 93432, 93840, 94248, 94656, 95064, 95472, 95880, 96288, 96696, 97104, 97512, 97920, 98328, 98736, 99144, 99552, 99960

There is a total of 245 numbers (up to 100000) that are divisible by 408.
The sum of these numbers is 12295080.
The arithmetic mean of these numbers is 50184.

How to find the numbers divisible by 408?

Finding all the numbers that can be divided by 408 is essentially the same as searching for the multiples of 408: if a number N is a multiple of 408, then 408 is a divisor of N.

Indeed, if we assume that N is a multiple of 408, this means there exists an integer k such that:

$k \times 408 = N$

Conversely, the result of N divided by 408 is this same integer k (without any remainder):

$k = \frac{N}{408}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 408 (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 408 less than 100000):

1 × 408 = 408
2 × 408 = 816
3 × 408 = 1224
...
244 × 408 = 99552
245 × 408 = 99960