What are the numbers divisible by 528?

528, 1056, 1584, 2112, 2640, 3168, 3696, 4224, 4752, 5280, 5808, 6336, 6864, 7392, 7920, 8448, 8976, 9504, 10032, 10560, 11088, 11616, 12144, 12672, 13200, 13728, 14256, 14784, 15312, 15840, 16368, 16896, 17424, 17952, 18480, 19008, 19536, 20064, 20592, 21120, 21648, 22176, 22704, 23232, 23760, 24288, 24816, 25344, 25872, 26400, 26928, 27456, 27984, 28512, 29040, 29568, 30096, 30624, 31152, 31680, 32208, 32736, 33264, 33792, 34320, 34848, 35376, 35904, 36432, 36960, 37488, 38016, 38544, 39072, 39600, 40128, 40656, 41184, 41712, 42240, 42768, 43296, 43824, 44352, 44880, 45408, 45936, 46464, 46992, 47520, 48048, 48576, 49104, 49632, 50160, 50688, 51216, 51744, 52272, 52800, 53328, 53856, 54384, 54912, 55440, 55968, 56496, 57024, 57552, 58080, 58608, 59136, 59664, 60192, 60720, 61248, 61776, 62304, 62832, 63360, 63888, 64416, 64944, 65472, 66000, 66528, 67056, 67584, 68112, 68640, 69168, 69696, 70224, 70752, 71280, 71808, 72336, 72864, 73392, 73920, 74448, 74976, 75504, 76032, 76560, 77088, 77616, 78144, 78672, 79200, 79728, 80256, 80784, 81312, 81840, 82368, 82896, 83424, 83952, 84480, 85008, 85536, 86064, 86592, 87120, 87648, 88176, 88704, 89232, 89760, 90288, 90816, 91344, 91872, 92400, 92928, 93456, 93984, 94512, 95040, 95568, 96096, 96624, 97152, 97680, 98208, 98736, 99264, 99792

There is a total of 189 numbers (up to 100000) that are divisible by 528.
The sum of these numbers is 9480240.
The arithmetic mean of these numbers is 50160.

How to find the numbers divisible by 528?

Finding all the numbers that can be divided by 528 is essentially the same as searching for the multiples of 528: if a number N is a multiple of 528, then 528 is a divisor of N.

Indeed, if we assume that N is a multiple of 528, this means there exists an integer k such that:

$k \times 528 = N$

Conversely, the result of N divided by 528 is this same integer k (without any remainder):

$k = \frac{N}{528}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 528 (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 528 less than 100000):

1 × 528 = 528
2 × 528 = 1056
3 × 528 = 1584
...
188 × 528 = 99264
189 × 528 = 99792