What are the numbers divisible by 475?

475, 950, 1425, 1900, 2375, 2850, 3325, 3800, 4275, 4750, 5225, 5700, 6175, 6650, 7125, 7600, 8075, 8550, 9025, 9500, 9975, 10450, 10925, 11400, 11875, 12350, 12825, 13300, 13775, 14250, 14725, 15200, 15675, 16150, 16625, 17100, 17575, 18050, 18525, 19000, 19475, 19950, 20425, 20900, 21375, 21850, 22325, 22800, 23275, 23750, 24225, 24700, 25175, 25650, 26125, 26600, 27075, 27550, 28025, 28500, 28975, 29450, 29925, 30400, 30875, 31350, 31825, 32300, 32775, 33250, 33725, 34200, 34675, 35150, 35625, 36100, 36575, 37050, 37525, 38000, 38475, 38950, 39425, 39900, 40375, 40850, 41325, 41800, 42275, 42750, 43225, 43700, 44175, 44650, 45125, 45600, 46075, 46550, 47025, 47500, 47975, 48450, 48925, 49400, 49875, 50350, 50825, 51300, 51775, 52250, 52725, 53200, 53675, 54150, 54625, 55100, 55575, 56050, 56525, 57000, 57475, 57950, 58425, 58900, 59375, 59850, 60325, 60800, 61275, 61750, 62225, 62700, 63175, 63650, 64125, 64600, 65075, 65550, 66025, 66500, 66975, 67450, 67925, 68400, 68875, 69350, 69825, 70300, 70775, 71250, 71725, 72200, 72675, 73150, 73625, 74100, 74575, 75050, 75525, 76000, 76475, 76950, 77425, 77900, 78375, 78850, 79325, 79800, 80275, 80750, 81225, 81700, 82175, 82650, 83125, 83600, 84075, 84550, 85025, 85500, 85975, 86450, 86925, 87400, 87875, 88350, 88825, 89300, 89775, 90250, 90725, 91200, 91675, 92150, 92625, 93100, 93575, 94050, 94525, 95000, 95475, 95950, 96425, 96900, 97375, 97850, 98325, 98800, 99275, 99750

There is a total of 210 numbers (up to 100000) that are divisible by 475.
The sum of these numbers is 10523625.
The arithmetic mean of these numbers is 50112.5.

How to find the numbers divisible by 475?

Finding all the numbers that can be divided by 475 is essentially the same as searching for the multiples of 475: if a number N is a multiple of 475, then 475 is a divisor of N.

Indeed, if we assume that N is a multiple of 475, this means there exists an integer k such that:

$k \times 475 = N$

Conversely, the result of N divided by 475 is this same integer k (without any remainder):

$k = \frac{N}{475}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 475 (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 475 less than 100000):

1 × 475 = 475
2 × 475 = 950
3 × 475 = 1425
...
209 × 475 = 99275
210 × 475 = 99750