What are the numbers divisible by 492?

492, 984, 1476, 1968, 2460, 2952, 3444, 3936, 4428, 4920, 5412, 5904, 6396, 6888, 7380, 7872, 8364, 8856, 9348, 9840, 10332, 10824, 11316, 11808, 12300, 12792, 13284, 13776, 14268, 14760, 15252, 15744, 16236, 16728, 17220, 17712, 18204, 18696, 19188, 19680, 20172, 20664, 21156, 21648, 22140, 22632, 23124, 23616, 24108, 24600, 25092, 25584, 26076, 26568, 27060, 27552, 28044, 28536, 29028, 29520, 30012, 30504, 30996, 31488, 31980, 32472, 32964, 33456, 33948, 34440, 34932, 35424, 35916, 36408, 36900, 37392, 37884, 38376, 38868, 39360, 39852, 40344, 40836, 41328, 41820, 42312, 42804, 43296, 43788, 44280, 44772, 45264, 45756, 46248, 46740, 47232, 47724, 48216, 48708, 49200, 49692, 50184, 50676, 51168, 51660, 52152, 52644, 53136, 53628, 54120, 54612, 55104, 55596, 56088, 56580, 57072, 57564, 58056, 58548, 59040, 59532, 60024, 60516, 61008, 61500, 61992, 62484, 62976, 63468, 63960, 64452, 64944, 65436, 65928, 66420, 66912, 67404, 67896, 68388, 68880, 69372, 69864, 70356, 70848, 71340, 71832, 72324, 72816, 73308, 73800, 74292, 74784, 75276, 75768, 76260, 76752, 77244, 77736, 78228, 78720, 79212, 79704, 80196, 80688, 81180, 81672, 82164, 82656, 83148, 83640, 84132, 84624, 85116, 85608, 86100, 86592, 87084, 87576, 88068, 88560, 89052, 89544, 90036, 90528, 91020, 91512, 92004, 92496, 92988, 93480, 93972, 94464, 94956, 95448, 95940, 96432, 96924, 97416, 97908, 98400, 98892, 99384, 99876

There is a total of 203 numbers (up to 100000) that are divisible by 492.
The sum of these numbers is 10187352.
The arithmetic mean of these numbers is 50184.

How to find the numbers divisible by 492?

Finding all the numbers that can be divided by 492 is essentially the same as searching for the multiples of 492: if a number N is a multiple of 492, then 492 is a divisor of N.

Indeed, if we assume that N is a multiple of 492, this means there exists an integer k such that:

$k \times 492 = N$

Conversely, the result of N divided by 492 is this same integer k (without any remainder):

$k = \frac{N}{492}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 492 (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 492 less than 100000):

1 × 492 = 492
2 × 492 = 984
3 × 492 = 1476
...
202 × 492 = 99384
203 × 492 = 99876