What are the numbers divisible by 432?

432, 864, 1296, 1728, 2160, 2592, 3024, 3456, 3888, 4320, 4752, 5184, 5616, 6048, 6480, 6912, 7344, 7776, 8208, 8640, 9072, 9504, 9936, 10368, 10800, 11232, 11664, 12096, 12528, 12960, 13392, 13824, 14256, 14688, 15120, 15552, 15984, 16416, 16848, 17280, 17712, 18144, 18576, 19008, 19440, 19872, 20304, 20736, 21168, 21600, 22032, 22464, 22896, 23328, 23760, 24192, 24624, 25056, 25488, 25920, 26352, 26784, 27216, 27648, 28080, 28512, 28944, 29376, 29808, 30240, 30672, 31104, 31536, 31968, 32400, 32832, 33264, 33696, 34128, 34560, 34992, 35424, 35856, 36288, 36720, 37152, 37584, 38016, 38448, 38880, 39312, 39744, 40176, 40608, 41040, 41472, 41904, 42336, 42768, 43200, 43632, 44064, 44496, 44928, 45360, 45792, 46224, 46656, 47088, 47520, 47952, 48384, 48816, 49248, 49680, 50112, 50544, 50976, 51408, 51840, 52272, 52704, 53136, 53568, 54000, 54432, 54864, 55296, 55728, 56160, 56592, 57024, 57456, 57888, 58320, 58752, 59184, 59616, 60048, 60480, 60912, 61344, 61776, 62208, 62640, 63072, 63504, 63936, 64368, 64800, 65232, 65664, 66096, 66528, 66960, 67392, 67824, 68256, 68688, 69120, 69552, 69984, 70416, 70848, 71280, 71712, 72144, 72576, 73008, 73440, 73872, 74304, 74736, 75168, 75600, 76032, 76464, 76896, 77328, 77760, 78192, 78624, 79056, 79488, 79920, 80352, 80784, 81216, 81648, 82080, 82512, 82944, 83376, 83808, 84240, 84672, 85104, 85536, 85968, 86400, 86832, 87264, 87696, 88128, 88560, 88992, 89424, 89856, 90288, 90720, 91152, 91584, 92016, 92448, 92880, 93312, 93744, 94176, 94608, 95040, 95472, 95904, 96336, 96768, 97200, 97632, 98064, 98496, 98928, 99360, 99792

There is a total of 231 numbers (up to 100000) that are divisible by 432.
The sum of these numbers is 11575872.
The arithmetic mean of these numbers is 50112.

How to find the numbers divisible by 432?

Finding all the numbers that can be divided by 432 is essentially the same as searching for the multiples of 432: if a number N is a multiple of 432, then 432 is a divisor of N.

Indeed, if we assume that N is a multiple of 432, this means there exists an integer k such that:

$k \times 432 = N$

Conversely, the result of N divided by 432 is this same integer k (without any remainder):

$k = \frac{N}{432}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 432 (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 432 less than 100000):

1 × 432 = 432
2 × 432 = 864
3 × 432 = 1296
...
230 × 432 = 99360
231 × 432 = 99792