What are the numbers divisible by 488?

488, 976, 1464, 1952, 2440, 2928, 3416, 3904, 4392, 4880, 5368, 5856, 6344, 6832, 7320, 7808, 8296, 8784, 9272, 9760, 10248, 10736, 11224, 11712, 12200, 12688, 13176, 13664, 14152, 14640, 15128, 15616, 16104, 16592, 17080, 17568, 18056, 18544, 19032, 19520, 20008, 20496, 20984, 21472, 21960, 22448, 22936, 23424, 23912, 24400, 24888, 25376, 25864, 26352, 26840, 27328, 27816, 28304, 28792, 29280, 29768, 30256, 30744, 31232, 31720, 32208, 32696, 33184, 33672, 34160, 34648, 35136, 35624, 36112, 36600, 37088, 37576, 38064, 38552, 39040, 39528, 40016, 40504, 40992, 41480, 41968, 42456, 42944, 43432, 43920, 44408, 44896, 45384, 45872, 46360, 46848, 47336, 47824, 48312, 48800, 49288, 49776, 50264, 50752, 51240, 51728, 52216, 52704, 53192, 53680, 54168, 54656, 55144, 55632, 56120, 56608, 57096, 57584, 58072, 58560, 59048, 59536, 60024, 60512, 61000, 61488, 61976, 62464, 62952, 63440, 63928, 64416, 64904, 65392, 65880, 66368, 66856, 67344, 67832, 68320, 68808, 69296, 69784, 70272, 70760, 71248, 71736, 72224, 72712, 73200, 73688, 74176, 74664, 75152, 75640, 76128, 76616, 77104, 77592, 78080, 78568, 79056, 79544, 80032, 80520, 81008, 81496, 81984, 82472, 82960, 83448, 83936, 84424, 84912, 85400, 85888, 86376, 86864, 87352, 87840, 88328, 88816, 89304, 89792, 90280, 90768, 91256, 91744, 92232, 92720, 93208, 93696, 94184, 94672, 95160, 95648, 96136, 96624, 97112, 97600, 98088, 98576, 99064, 99552

There is a total of 204 numbers (up to 100000) that are divisible by 488.
The sum of these numbers is 10204080.
The arithmetic mean of these numbers is 50020.

How to find the numbers divisible by 488?

Finding all the numbers that can be divided by 488 is essentially the same as searching for the multiples of 488: if a number N is a multiple of 488, then 488 is a divisor of N.

Indeed, if we assume that N is a multiple of 488, this means there exists an integer k such that:

$k \times 488 = N$

Conversely, the result of N divided by 488 is this same integer k (without any remainder):

$k = \frac{N}{488}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 488 (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 488 less than 100000):

1 × 488 = 488
2 × 488 = 976
3 × 488 = 1464
...
203 × 488 = 99064
204 × 488 = 99552