What are the numbers divisible by 564?

564, 1128, 1692, 2256, 2820, 3384, 3948, 4512, 5076, 5640, 6204, 6768, 7332, 7896, 8460, 9024, 9588, 10152, 10716, 11280, 11844, 12408, 12972, 13536, 14100, 14664, 15228, 15792, 16356, 16920, 17484, 18048, 18612, 19176, 19740, 20304, 20868, 21432, 21996, 22560, 23124, 23688, 24252, 24816, 25380, 25944, 26508, 27072, 27636, 28200, 28764, 29328, 29892, 30456, 31020, 31584, 32148, 32712, 33276, 33840, 34404, 34968, 35532, 36096, 36660, 37224, 37788, 38352, 38916, 39480, 40044, 40608, 41172, 41736, 42300, 42864, 43428, 43992, 44556, 45120, 45684, 46248, 46812, 47376, 47940, 48504, 49068, 49632, 50196, 50760, 51324, 51888, 52452, 53016, 53580, 54144, 54708, 55272, 55836, 56400, 56964, 57528, 58092, 58656, 59220, 59784, 60348, 60912, 61476, 62040, 62604, 63168, 63732, 64296, 64860, 65424, 65988, 66552, 67116, 67680, 68244, 68808, 69372, 69936, 70500, 71064, 71628, 72192, 72756, 73320, 73884, 74448, 75012, 75576, 76140, 76704, 77268, 77832, 78396, 78960, 79524, 80088, 80652, 81216, 81780, 82344, 82908, 83472, 84036, 84600, 85164, 85728, 86292, 86856, 87420, 87984, 88548, 89112, 89676, 90240, 90804, 91368, 91932, 92496, 93060, 93624, 94188, 94752, 95316, 95880, 96444, 97008, 97572, 98136, 98700, 99264, 99828

There is a total of 177 numbers (up to 100000) that are divisible by 564.
The sum of these numbers is 8884692.
The arithmetic mean of these numbers is 50196.

How to find the numbers divisible by 564?

Finding all the numbers that can be divided by 564 is essentially the same as searching for the multiples of 564: if a number N is a multiple of 564, then 564 is a divisor of N.

Indeed, if we assume that N is a multiple of 564, this means there exists an integer k such that:

$k \times 564 = N$

Conversely, the result of N divided by 564 is this same integer k (without any remainder):

$k = \frac{N}{564}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 564 (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 564 less than 100000):

1 × 564 = 564
2 × 564 = 1128
3 × 564 = 1692
...
176 × 564 = 99264
177 × 564 = 99828