What are the numbers divisible by 476?

476, 952, 1428, 1904, 2380, 2856, 3332, 3808, 4284, 4760, 5236, 5712, 6188, 6664, 7140, 7616, 8092, 8568, 9044, 9520, 9996, 10472, 10948, 11424, 11900, 12376, 12852, 13328, 13804, 14280, 14756, 15232, 15708, 16184, 16660, 17136, 17612, 18088, 18564, 19040, 19516, 19992, 20468, 20944, 21420, 21896, 22372, 22848, 23324, 23800, 24276, 24752, 25228, 25704, 26180, 26656, 27132, 27608, 28084, 28560, 29036, 29512, 29988, 30464, 30940, 31416, 31892, 32368, 32844, 33320, 33796, 34272, 34748, 35224, 35700, 36176, 36652, 37128, 37604, 38080, 38556, 39032, 39508, 39984, 40460, 40936, 41412, 41888, 42364, 42840, 43316, 43792, 44268, 44744, 45220, 45696, 46172, 46648, 47124, 47600, 48076, 48552, 49028, 49504, 49980, 50456, 50932, 51408, 51884, 52360, 52836, 53312, 53788, 54264, 54740, 55216, 55692, 56168, 56644, 57120, 57596, 58072, 58548, 59024, 59500, 59976, 60452, 60928, 61404, 61880, 62356, 62832, 63308, 63784, 64260, 64736, 65212, 65688, 66164, 66640, 67116, 67592, 68068, 68544, 69020, 69496, 69972, 70448, 70924, 71400, 71876, 72352, 72828, 73304, 73780, 74256, 74732, 75208, 75684, 76160, 76636, 77112, 77588, 78064, 78540, 79016, 79492, 79968, 80444, 80920, 81396, 81872, 82348, 82824, 83300, 83776, 84252, 84728, 85204, 85680, 86156, 86632, 87108, 87584, 88060, 88536, 89012, 89488, 89964, 90440, 90916, 91392, 91868, 92344, 92820, 93296, 93772, 94248, 94724, 95200, 95676, 96152, 96628, 97104, 97580, 98056, 98532, 99008, 99484, 99960

There is a total of 210 numbers (up to 100000) that are divisible by 476.
The sum of these numbers is 10545780.
The arithmetic mean of these numbers is 50218.

How to find the numbers divisible by 476?

Finding all the numbers that can be divided by 476 is essentially the same as searching for the multiples of 476: if a number N is a multiple of 476, then 476 is a divisor of N.

Indeed, if we assume that N is a multiple of 476, this means there exists an integer k such that:

$k \times 476 = N$

Conversely, the result of N divided by 476 is this same integer k (without any remainder):

$k = \frac{N}{476}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 476 (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 476 less than 100000):

1 × 476 = 476
2 × 476 = 952
3 × 476 = 1428
...
209 × 476 = 99484
210 × 476 = 99960