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4576312806 = 2313223317619
BaseRepresentation
bin1000100001100010…
…01111110111100110
3102210221010202222220
410100301033313212
533333014002211
62034034133210
7221256005562
oct42061176746
912727122886
104576312806
111a392335aa
12a78721206
1357c145800
14315ad26a2
151bbb64806
hex110c4fde6

4576312806 has 96 divisors (see below), whose sum is σ = 10391120640. Its totient is φ = 1340456832.

The previous prime is 4576312799. The next prime is 4576312813. The reversal of 4576312806 is 6082136754.

It is an interprime number because it is at equal distance from previous prime (4576312799) and next prime (4576312813).

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 47 ways as a sum of consecutive naturals, for example, 7392765 + ... + 7393383.

It is an arithmetic number, because the mean of its divisors is an integer number (108240840).

Almost surely, 24576312806 is an apocalyptic number.

4576312806 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4576312806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195560320).

4576312806 is an abundant number, since it is smaller than the sum of its proper divisors (5814807834).

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

4576312806 is a wasteful number, since it uses less digits than its factorization.

4576312806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 4576312806 is about 67648.4501374570. The cubic root of 4576312806 is about 1660.2439286870.

The spelling of 4576312806 in words is "four billion, five hundred seventy-six million, three hundred twelve thousand, eight hundred six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 169 299 317 338 507 598 619 634 897 951 1014 1238 1794 1857 1902 3714 3887 4121 7291 7774 8047 8242 11661 12363 14237 14582 16094 21873 23322 24141 24726 28474 42711 43746 48282 53573 85422 94783 104611 107146 160719 185081 189566 196223 209222 284349 313833 321438 370162 392446 555243 568698 588669 627666 1110486 1177338 1232179 2406053 2464358 2550899 3696537 4513129 4812106 5101798 7218159 7393074 7652697 9026258 13539387 14436318 15305394 27078774 33161687 58670677 66323374 99485061 117341354 176012031 198970122 352024062 762718801 1525437602 2288156403 4576312806