What are the numbers divisible by 490?

490, 980, 1470, 1960, 2450, 2940, 3430, 3920, 4410, 4900, 5390, 5880, 6370, 6860, 7350, 7840, 8330, 8820, 9310, 9800, 10290, 10780, 11270, 11760, 12250, 12740, 13230, 13720, 14210, 14700, 15190, 15680, 16170, 16660, 17150, 17640, 18130, 18620, 19110, 19600, 20090, 20580, 21070, 21560, 22050, 22540, 23030, 23520, 24010, 24500, 24990, 25480, 25970, 26460, 26950, 27440, 27930, 28420, 28910, 29400, 29890, 30380, 30870, 31360, 31850, 32340, 32830, 33320, 33810, 34300, 34790, 35280, 35770, 36260, 36750, 37240, 37730, 38220, 38710, 39200, 39690, 40180, 40670, 41160, 41650, 42140, 42630, 43120, 43610, 44100, 44590, 45080, 45570, 46060, 46550, 47040, 47530, 48020, 48510, 49000, 49490, 49980, 50470, 50960, 51450, 51940, 52430, 52920, 53410, 53900, 54390, 54880, 55370, 55860, 56350, 56840, 57330, 57820, 58310, 58800, 59290, 59780, 60270, 60760, 61250, 61740, 62230, 62720, 63210, 63700, 64190, 64680, 65170, 65660, 66150, 66640, 67130, 67620, 68110, 68600, 69090, 69580, 70070, 70560, 71050, 71540, 72030, 72520, 73010, 73500, 73990, 74480, 74970, 75460, 75950, 76440, 76930, 77420, 77910, 78400, 78890, 79380, 79870, 80360, 80850, 81340, 81830, 82320, 82810, 83300, 83790, 84280, 84770, 85260, 85750, 86240, 86730, 87220, 87710, 88200, 88690, 89180, 89670, 90160, 90650, 91140, 91630, 92120, 92610, 93100, 93590, 94080, 94570, 95060, 95550, 96040, 96530, 97020, 97510, 98000, 98490, 98980, 99470, 99960

There is a total of 204 numbers (up to 100000) that are divisible by 490.
The sum of these numbers is 10245900.
The arithmetic mean of these numbers is 50225.

How to find the numbers divisible by 490?

Finding all the numbers that can be divided by 490 is essentially the same as searching for the multiples of 490: if a number N is a multiple of 490, then 490 is a divisor of N.

Indeed, if we assume that N is a multiple of 490, this means there exists an integer k such that:

$k \times 490 = N$

Conversely, the result of N divided by 490 is this same integer k (without any remainder):

$k = \frac{N}{490}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 490 (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 490 less than 100000):

1 × 490 = 490
2 × 490 = 980
3 × 490 = 1470
...
203 × 490 = 99470
204 × 490 = 99960