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492775416 = 233271915119
BaseRepresentation
bin11101010111110…
…010011111111000
31021100020120210100
4131113302133320
52002122303131
6120521515400
715132344010
oct3527623770
91240216710
10492775416
11233182511
12119042b60
137b1258b3
1449634c40
152d3dc7e6
hex1d5f27f8

492775416 has 96 divisors (see below), whose sum is σ = 1533542400. Its totient is φ = 140028480.

The previous prime is 492775403. The next prime is 492775427. The reversal of 492775416 is 614577294.

It is a super-2 number, since 2×4927754162 = 485655221227946112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93705 + ... + 98823.

It is an arithmetic number, because the mean of its divisors is an integer number (15974400).

Almost surely, 2492775416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492775416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766771200).

492775416 is an abundant number, since it is smaller than the sum of its proper divisors (1040766984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

492775416 is a wasteful number, since it uses less digits than its factorization.

492775416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329 (or 5322 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 492775416 is about 22198.5453577481. The cubic root of 492775416 is about 789.8591940471.

The spelling of 492775416 in words is "four hundred ninety-two million, seven hundred seventy-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 191 252 382 504 573 764 1146 1337 1528 1719 2292 2674 3438 4011 4584 5119 5348 6876 8022 10238 10696 12033 13752 15357 16044 20476 24066 30714 32088 35833 40952 46071 48132 61428 71666 92142 96264 107499 122856 143332 184284 214998 286664 322497 368568 429996 644994 859992 977729 1289988 1955458 2579976 2933187 3910916 5866374 6844103 7821832 8799561 11732748 13688206 17599122 20532309 23465496 27376412 35198244 41064618 54752824 61596927 70396488 82129236 123193854 164258472 246387708 492775416