What are the numbers divisible by 448?

448, 896, 1344, 1792, 2240, 2688, 3136, 3584, 4032, 4480, 4928, 5376, 5824, 6272, 6720, 7168, 7616, 8064, 8512, 8960, 9408, 9856, 10304, 10752, 11200, 11648, 12096, 12544, 12992, 13440, 13888, 14336, 14784, 15232, 15680, 16128, 16576, 17024, 17472, 17920, 18368, 18816, 19264, 19712, 20160, 20608, 21056, 21504, 21952, 22400, 22848, 23296, 23744, 24192, 24640, 25088, 25536, 25984, 26432, 26880, 27328, 27776, 28224, 28672, 29120, 29568, 30016, 30464, 30912, 31360, 31808, 32256, 32704, 33152, 33600, 34048, 34496, 34944, 35392, 35840, 36288, 36736, 37184, 37632, 38080, 38528, 38976, 39424, 39872, 40320, 40768, 41216, 41664, 42112, 42560, 43008, 43456, 43904, 44352, 44800, 45248, 45696, 46144, 46592, 47040, 47488, 47936, 48384, 48832, 49280, 49728, 50176, 50624, 51072, 51520, 51968, 52416, 52864, 53312, 53760, 54208, 54656, 55104, 55552, 56000, 56448, 56896, 57344, 57792, 58240, 58688, 59136, 59584, 60032, 60480, 60928, 61376, 61824, 62272, 62720, 63168, 63616, 64064, 64512, 64960, 65408, 65856, 66304, 66752, 67200, 67648, 68096, 68544, 68992, 69440, 69888, 70336, 70784, 71232, 71680, 72128, 72576, 73024, 73472, 73920, 74368, 74816, 75264, 75712, 76160, 76608, 77056, 77504, 77952, 78400, 78848, 79296, 79744, 80192, 80640, 81088, 81536, 81984, 82432, 82880, 83328, 83776, 84224, 84672, 85120, 85568, 86016, 86464, 86912, 87360, 87808, 88256, 88704, 89152, 89600, 90048, 90496, 90944, 91392, 91840, 92288, 92736, 93184, 93632, 94080, 94528, 94976, 95424, 95872, 96320, 96768, 97216, 97664, 98112, 98560, 99008, 99456, 99904

There is a total of 223 numbers (up to 100000) that are divisible by 448.
The sum of these numbers is 11189248.
The arithmetic mean of these numbers is 50176.

How to find the numbers divisible by 448?

Finding all the numbers that can be divided by 448 is essentially the same as searching for the multiples of 448: if a number N is a multiple of 448, then 448 is a divisor of N.

Indeed, if we assume that N is a multiple of 448, this means there exists an integer k such that:

$k \times 448 = N$

Conversely, the result of N divided by 448 is this same integer k (without any remainder):

$k = \frac{N}{448}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 448 (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 448 less than 100000):

1 × 448 = 448
2 × 448 = 896
3 × 448 = 1344
...
222 × 448 = 99456
223 × 448 = 99904