What are the numbers divisible by 484?

484, 968, 1452, 1936, 2420, 2904, 3388, 3872, 4356, 4840, 5324, 5808, 6292, 6776, 7260, 7744, 8228, 8712, 9196, 9680, 10164, 10648, 11132, 11616, 12100, 12584, 13068, 13552, 14036, 14520, 15004, 15488, 15972, 16456, 16940, 17424, 17908, 18392, 18876, 19360, 19844, 20328, 20812, 21296, 21780, 22264, 22748, 23232, 23716, 24200, 24684, 25168, 25652, 26136, 26620, 27104, 27588, 28072, 28556, 29040, 29524, 30008, 30492, 30976, 31460, 31944, 32428, 32912, 33396, 33880, 34364, 34848, 35332, 35816, 36300, 36784, 37268, 37752, 38236, 38720, 39204, 39688, 40172, 40656, 41140, 41624, 42108, 42592, 43076, 43560, 44044, 44528, 45012, 45496, 45980, 46464, 46948, 47432, 47916, 48400, 48884, 49368, 49852, 50336, 50820, 51304, 51788, 52272, 52756, 53240, 53724, 54208, 54692, 55176, 55660, 56144, 56628, 57112, 57596, 58080, 58564, 59048, 59532, 60016, 60500, 60984, 61468, 61952, 62436, 62920, 63404, 63888, 64372, 64856, 65340, 65824, 66308, 66792, 67276, 67760, 68244, 68728, 69212, 69696, 70180, 70664, 71148, 71632, 72116, 72600, 73084, 73568, 74052, 74536, 75020, 75504, 75988, 76472, 76956, 77440, 77924, 78408, 78892, 79376, 79860, 80344, 80828, 81312, 81796, 82280, 82764, 83248, 83732, 84216, 84700, 85184, 85668, 86152, 86636, 87120, 87604, 88088, 88572, 89056, 89540, 90024, 90508, 90992, 91476, 91960, 92444, 92928, 93412, 93896, 94380, 94864, 95348, 95832, 96316, 96800, 97284, 97768, 98252, 98736, 99220, 99704

There is a total of 206 numbers (up to 100000) that are divisible by 484.
The sum of these numbers is 10319364.
The arithmetic mean of these numbers is 50094.

How to find the numbers divisible by 484?

Finding all the numbers that can be divided by 484 is essentially the same as searching for the multiples of 484: if a number N is a multiple of 484, then 484 is a divisor of N.

Indeed, if we assume that N is a multiple of 484, this means there exists an integer k such that:

$k \times 484 = N$

Conversely, the result of N divided by 484 is this same integer k (without any remainder):

$k = \frac{N}{484}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 484 (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 484 less than 100000):

1 × 484 = 484
2 × 484 = 968
3 × 484 = 1452
...
205 × 484 = 99220
206 × 484 = 99704