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492188664 = 2331143191227
BaseRepresentation
bin11101010101100…
…011001111111000
31021022010202220210
4131111203033320
52002000014124
6120501151120
715124351242
oct3525431770
91238122823
10492188664
112329116a0
121189bb4a0
137ac7b7c6
1449521092
152d323a29
hex1d5633f8

492188664 has 128 divisors (see below), whose sum is σ = 1386823680. Its totient is φ = 144278400.

The previous prime is 492188647. The next prime is 492188699. The reversal of 492188664 is 466881294.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2168119 + ... + 2168345.

It is an arithmetic number, because the mean of its divisors is an integer number (10834560).

Almost surely, 2492188664 is an apocalyptic number.

492188664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492188664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693411840).

492188664 is an abundant number, since it is smaller than the sum of its proper divisors (894635016).

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

492188664 is a wasteful number, since it uses less digits than its factorization.

492188664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 477 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 492188664 is about 22185.3254201961. The cubic root of 492188664 is about 789.5455721186.

The spelling of 492188664 in words is "four hundred ninety-two million, one hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 191 227 258 264 344 382 454 473 516 573 681 764 908 946 1032 1146 1362 1419 1528 1816 1892 2101 2292 2497 2724 2838 3784 4202 4584 4994 5448 5676 6303 7491 8213 8404 9761 9988 11352 12606 14982 16426 16808 19522 19976 24639 25212 29283 29964 32852 39044 43357 49278 50424 58566 59928 65704 78088 86714 90343 98556 107371 117132 130071 173428 180686 197112 214742 234264 260142 271029 322113 346856 361372 429484 476927 520284 542058 644226 722744 858968 953854 1040568 1084116 1288452 1430781 1864351 1907708 2168232 2576904 2861562 3728702 3815416 5593053 5723124 7457404 11186106 11446248 14914808 20507861 22372212 41015722 44744424 61523583 82031444 123047166 164062888 246094332 492188664