What are the numbers divisible by 478?

478, 956, 1434, 1912, 2390, 2868, 3346, 3824, 4302, 4780, 5258, 5736, 6214, 6692, 7170, 7648, 8126, 8604, 9082, 9560, 10038, 10516, 10994, 11472, 11950, 12428, 12906, 13384, 13862, 14340, 14818, 15296, 15774, 16252, 16730, 17208, 17686, 18164, 18642, 19120, 19598, 20076, 20554, 21032, 21510, 21988, 22466, 22944, 23422, 23900, 24378, 24856, 25334, 25812, 26290, 26768, 27246, 27724, 28202, 28680, 29158, 29636, 30114, 30592, 31070, 31548, 32026, 32504, 32982, 33460, 33938, 34416, 34894, 35372, 35850, 36328, 36806, 37284, 37762, 38240, 38718, 39196, 39674, 40152, 40630, 41108, 41586, 42064, 42542, 43020, 43498, 43976, 44454, 44932, 45410, 45888, 46366, 46844, 47322, 47800, 48278, 48756, 49234, 49712, 50190, 50668, 51146, 51624, 52102, 52580, 53058, 53536, 54014, 54492, 54970, 55448, 55926, 56404, 56882, 57360, 57838, 58316, 58794, 59272, 59750, 60228, 60706, 61184, 61662, 62140, 62618, 63096, 63574, 64052, 64530, 65008, 65486, 65964, 66442, 66920, 67398, 67876, 68354, 68832, 69310, 69788, 70266, 70744, 71222, 71700, 72178, 72656, 73134, 73612, 74090, 74568, 75046, 75524, 76002, 76480, 76958, 77436, 77914, 78392, 78870, 79348, 79826, 80304, 80782, 81260, 81738, 82216, 82694, 83172, 83650, 84128, 84606, 85084, 85562, 86040, 86518, 86996, 87474, 87952, 88430, 88908, 89386, 89864, 90342, 90820, 91298, 91776, 92254, 92732, 93210, 93688, 94166, 94644, 95122, 95600, 96078, 96556, 97034, 97512, 97990, 98468, 98946, 99424, 99902

There is a total of 209 numbers (up to 100000) that are divisible by 478.
The sum of these numbers is 10489710.
The arithmetic mean of these numbers is 50190.

How to find the numbers divisible by 478?

Finding all the numbers that can be divided by 478 is essentially the same as searching for the multiples of 478: if a number N is a multiple of 478, then 478 is a divisor of N.

Indeed, if we assume that N is a multiple of 478, this means there exists an integer k such that:

$k \times 478 = N$

Conversely, the result of N divided by 478 is this same integer k (without any remainder):

$k = \frac{N}{478}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 478 (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 478 less than 100000):

1 × 478 = 478
2 × 478 = 956
3 × 478 = 1434
...
208 × 478 = 99424
209 × 478 = 99902