What are the numbers divisible by 499?

499, 998, 1497, 1996, 2495, 2994, 3493, 3992, 4491, 4990, 5489, 5988, 6487, 6986, 7485, 7984, 8483, 8982, 9481, 9980, 10479, 10978, 11477, 11976, 12475, 12974, 13473, 13972, 14471, 14970, 15469, 15968, 16467, 16966, 17465, 17964, 18463, 18962, 19461, 19960, 20459, 20958, 21457, 21956, 22455, 22954, 23453, 23952, 24451, 24950, 25449, 25948, 26447, 26946, 27445, 27944, 28443, 28942, 29441, 29940, 30439, 30938, 31437, 31936, 32435, 32934, 33433, 33932, 34431, 34930, 35429, 35928, 36427, 36926, 37425, 37924, 38423, 38922, 39421, 39920, 40419, 40918, 41417, 41916, 42415, 42914, 43413, 43912, 44411, 44910, 45409, 45908, 46407, 46906, 47405, 47904, 48403, 48902, 49401, 49900, 50399, 50898, 51397, 51896, 52395, 52894, 53393, 53892, 54391, 54890, 55389, 55888, 56387, 56886, 57385, 57884, 58383, 58882, 59381, 59880, 60379, 60878, 61377, 61876, 62375, 62874, 63373, 63872, 64371, 64870, 65369, 65868, 66367, 66866, 67365, 67864, 68363, 68862, 69361, 69860, 70359, 70858, 71357, 71856, 72355, 72854, 73353, 73852, 74351, 74850, 75349, 75848, 76347, 76846, 77345, 77844, 78343, 78842, 79341, 79840, 80339, 80838, 81337, 81836, 82335, 82834, 83333, 83832, 84331, 84830, 85329, 85828, 86327, 86826, 87325, 87824, 88323, 88822, 89321, 89820, 90319, 90818, 91317, 91816, 92315, 92814, 93313, 93812, 94311, 94810, 95309, 95808, 96307, 96806, 97305, 97804, 98303, 98802, 99301, 99800

There is a total of 200 numbers (up to 100000) that are divisible by 499.
The sum of these numbers is 10029900.
The arithmetic mean of these numbers is 50149.5.

How to find the numbers divisible by 499?

Finding all the numbers that can be divided by 499 is essentially the same as searching for the multiples of 499: if a number N is a multiple of 499, then 499 is a divisor of N.

Indeed, if we assume that N is a multiple of 499, this means there exists an integer k such that:

$k \times 499 = N$

Conversely, the result of N divided by 499 is this same integer k (without any remainder):

$k = \frac{N}{499}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 499 (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 499 less than 100000):

1 × 499 = 499
2 × 499 = 998
3 × 499 = 1497
...
199 × 499 = 99301
200 × 499 = 99800