What are the numbers divisible by 978?

978, 1956, 2934, 3912, 4890, 5868, 6846, 7824, 8802, 9780, 10758, 11736, 12714, 13692, 14670, 15648, 16626, 17604, 18582, 19560, 20538, 21516, 22494, 23472, 24450, 25428, 26406, 27384, 28362, 29340, 30318, 31296, 32274, 33252, 34230, 35208, 36186, 37164, 38142, 39120, 40098, 41076, 42054, 43032, 44010, 44988, 45966, 46944, 47922, 48900, 49878, 50856, 51834, 52812, 53790, 54768, 55746, 56724, 57702, 58680, 59658, 60636, 61614, 62592, 63570, 64548, 65526, 66504, 67482, 68460, 69438, 70416, 71394, 72372, 73350, 74328, 75306, 76284, 77262, 78240, 79218, 80196, 81174, 82152, 83130, 84108, 85086, 86064, 87042, 88020, 88998, 89976, 90954, 91932, 92910, 93888, 94866, 95844, 96822, 97800, 98778, 99756

There is a total of 102 numbers (up to 100000) that are divisible by 978.
The sum of these numbers is 5137434.
The arithmetic mean of these numbers is 50367.

How to find the numbers divisible by 978?

Finding all the numbers that can be divided by 978 is essentially the same as searching for the multiples of 978: if a number N is a multiple of 978, then 978 is a divisor of N.

Indeed, if we assume that N is a multiple of 978, this means there exists an integer k such that:

$k \times 978 = N$

Conversely, the result of N divided by 978 is this same integer k (without any remainder):

$k = \frac{N}{978}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 978 (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 978 less than 100000):

1 × 978 = 978
2 × 978 = 1956
3 × 978 = 2934
...
101 × 978 = 98778
102 × 978 = 99756