What are the numbers divisible by 457?

457, 914, 1371, 1828, 2285, 2742, 3199, 3656, 4113, 4570, 5027, 5484, 5941, 6398, 6855, 7312, 7769, 8226, 8683, 9140, 9597, 10054, 10511, 10968, 11425, 11882, 12339, 12796, 13253, 13710, 14167, 14624, 15081, 15538, 15995, 16452, 16909, 17366, 17823, 18280, 18737, 19194, 19651, 20108, 20565, 21022, 21479, 21936, 22393, 22850, 23307, 23764, 24221, 24678, 25135, 25592, 26049, 26506, 26963, 27420, 27877, 28334, 28791, 29248, 29705, 30162, 30619, 31076, 31533, 31990, 32447, 32904, 33361, 33818, 34275, 34732, 35189, 35646, 36103, 36560, 37017, 37474, 37931, 38388, 38845, 39302, 39759, 40216, 40673, 41130, 41587, 42044, 42501, 42958, 43415, 43872, 44329, 44786, 45243, 45700, 46157, 46614, 47071, 47528, 47985, 48442, 48899, 49356, 49813, 50270, 50727, 51184, 51641, 52098, 52555, 53012, 53469, 53926, 54383, 54840, 55297, 55754, 56211, 56668, 57125, 57582, 58039, 58496, 58953, 59410, 59867, 60324, 60781, 61238, 61695, 62152, 62609, 63066, 63523, 63980, 64437, 64894, 65351, 65808, 66265, 66722, 67179, 67636, 68093, 68550, 69007, 69464, 69921, 70378, 70835, 71292, 71749, 72206, 72663, 73120, 73577, 74034, 74491, 74948, 75405, 75862, 76319, 76776, 77233, 77690, 78147, 78604, 79061, 79518, 79975, 80432, 80889, 81346, 81803, 82260, 82717, 83174, 83631, 84088, 84545, 85002, 85459, 85916, 86373, 86830, 87287, 87744, 88201, 88658, 89115, 89572, 90029, 90486, 90943, 91400, 91857, 92314, 92771, 93228, 93685, 94142, 94599, 95056, 95513, 95970, 96427, 96884, 97341, 97798, 98255, 98712, 99169, 99626

There is a total of 218 numbers (up to 100000) that are divisible by 457.
The sum of these numbers is 10909047.
The arithmetic mean of these numbers is 50041.5.

How to find the numbers divisible by 457?

Finding all the numbers that can be divided by 457 is essentially the same as searching for the multiples of 457: if a number N is a multiple of 457, then 457 is a divisor of N.

Indeed, if we assume that N is a multiple of 457, this means there exists an integer k such that:

$k \times 457 = N$

Conversely, the result of N divided by 457 is this same integer k (without any remainder):

$k = \frac{N}{457}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 457 (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 457 less than 100000):

1 × 457 = 457
2 × 457 = 914
3 × 457 = 1371
...
217 × 457 = 99169
218 × 457 = 99626