What are the numbers divisible by 864?

864, 1728, 2592, 3456, 4320, 5184, 6048, 6912, 7776, 8640, 9504, 10368, 11232, 12096, 12960, 13824, 14688, 15552, 16416, 17280, 18144, 19008, 19872, 20736, 21600, 22464, 23328, 24192, 25056, 25920, 26784, 27648, 28512, 29376, 30240, 31104, 31968, 32832, 33696, 34560, 35424, 36288, 37152, 38016, 38880, 39744, 40608, 41472, 42336, 43200, 44064, 44928, 45792, 46656, 47520, 48384, 49248, 50112, 50976, 51840, 52704, 53568, 54432, 55296, 56160, 57024, 57888, 58752, 59616, 60480, 61344, 62208, 63072, 63936, 64800, 65664, 66528, 67392, 68256, 69120, 69984, 70848, 71712, 72576, 73440, 74304, 75168, 76032, 76896, 77760, 78624, 79488, 80352, 81216, 82080, 82944, 83808, 84672, 85536, 86400, 87264, 88128, 88992, 89856, 90720, 91584, 92448, 93312, 94176, 95040, 95904, 96768, 97632, 98496, 99360

There is a total of 115 numbers (up to 100000) that are divisible by 864.
The sum of these numbers is 5762880.
The arithmetic mean of these numbers is 50112.

How to find the numbers divisible by 864?

Finding all the numbers that can be divided by 864 is essentially the same as searching for the multiples of 864: if a number N is a multiple of 864, then 864 is a divisor of N.

Indeed, if we assume that N is a multiple of 864, this means there exists an integer k such that:

$k \times 864 = N$

Conversely, the result of N divided by 864 is this same integer k (without any remainder):

$k = \frac{N}{864}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 864 (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 864 less than 100000):

1 × 864 = 864
2 × 864 = 1728
3 × 864 = 2592
...
114 × 864 = 98496
115 × 864 = 99360