What are the numbers divisible by 459?

459, 918, 1377, 1836, 2295, 2754, 3213, 3672, 4131, 4590, 5049, 5508, 5967, 6426, 6885, 7344, 7803, 8262, 8721, 9180, 9639, 10098, 10557, 11016, 11475, 11934, 12393, 12852, 13311, 13770, 14229, 14688, 15147, 15606, 16065, 16524, 16983, 17442, 17901, 18360, 18819, 19278, 19737, 20196, 20655, 21114, 21573, 22032, 22491, 22950, 23409, 23868, 24327, 24786, 25245, 25704, 26163, 26622, 27081, 27540, 27999, 28458, 28917, 29376, 29835, 30294, 30753, 31212, 31671, 32130, 32589, 33048, 33507, 33966, 34425, 34884, 35343, 35802, 36261, 36720, 37179, 37638, 38097, 38556, 39015, 39474, 39933, 40392, 40851, 41310, 41769, 42228, 42687, 43146, 43605, 44064, 44523, 44982, 45441, 45900, 46359, 46818, 47277, 47736, 48195, 48654, 49113, 49572, 50031, 50490, 50949, 51408, 51867, 52326, 52785, 53244, 53703, 54162, 54621, 55080, 55539, 55998, 56457, 56916, 57375, 57834, 58293, 58752, 59211, 59670, 60129, 60588, 61047, 61506, 61965, 62424, 62883, 63342, 63801, 64260, 64719, 65178, 65637, 66096, 66555, 67014, 67473, 67932, 68391, 68850, 69309, 69768, 70227, 70686, 71145, 71604, 72063, 72522, 72981, 73440, 73899, 74358, 74817, 75276, 75735, 76194, 76653, 77112, 77571, 78030, 78489, 78948, 79407, 79866, 80325, 80784, 81243, 81702, 82161, 82620, 83079, 83538, 83997, 84456, 84915, 85374, 85833, 86292, 86751, 87210, 87669, 88128, 88587, 89046, 89505, 89964, 90423, 90882, 91341, 91800, 92259, 92718, 93177, 93636, 94095, 94554, 95013, 95472, 95931, 96390, 96849, 97308, 97767, 98226, 98685, 99144, 99603

There is a total of 217 numbers (up to 100000) that are divisible by 459.
The sum of these numbers is 10856727.
The arithmetic mean of these numbers is 50031.

How to find the numbers divisible by 459?

Finding all the numbers that can be divided by 459 is essentially the same as searching for the multiples of 459: if a number N is a multiple of 459, then 459 is a divisor of N.

Indeed, if we assume that N is a multiple of 459, this means there exists an integer k such that:

$k \times 459 = N$

Conversely, the result of N divided by 459 is this same integer k (without any remainder):

$k = \frac{N}{459}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 459 (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 459 less than 100000):

1 × 459 = 459
2 × 459 = 918
3 × 459 = 1377
...
216 × 459 = 99144
217 × 459 = 99603