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5303859652 = 22713192181223
BaseRepresentation
bin1001111000010001…
…00111100111000100
3111200122010222122101
410330020213213010
541330242002102
62234144041444
7245302030450
oct47410474704
914618128571
105303859652
112281988293
121040303284
13666aab3c0
1438459b660
15210978e87
hex13c2279c4

5303859652 has 144 divisors (see below), whose sum is σ = 12177564672. Its totient is φ = 1967950080.

The previous prime is 5303859647. The next prime is 5303859661. The reversal of 5303859652 is 2569583035.

It is a super-2 number, since 2×53038596522 = 56261854416227122208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23784013 + ... + 23784235.

Almost surely, 25303859652 is an apocalyptic number.

5303859652 is a gapful number since it is divisible by the number (52) 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 5303859652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088782336).

5303859652 is an abundant number, since it is smaller than the sum of its proper divisors (6873705020).

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

5303859652 is a wasteful number, since it uses less digits than its factorization.

5303859652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The square root of 5303859652 is about 72827.6022672723. The cubic root of 5303859652 is about 1743.9365284429.

The spelling of 5303859652 in words is "five billion, three hundred three million, eight hundred fifty-nine thousand, six hundred fifty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 181 182 223 247 266 361 362 364 446 494 532 722 724 892 988 1267 1444 1561 1729 2353 2527 2534 2899 3122 3439 3458 4237 4693 4706 5054 5068 5798 6244 6878 6916 8474 9386 9412 10108 11596 13756 16471 16948 18772 20293 24073 29659 32851 32942 40363 40586 44707 48146 55081 59318 65341 65702 65884 80503 80726 81172 89414 96292 110162 118636 130682 131404 161006 161452 178828 220324 261364 282541 312949 322012 385567 457387 524719 563521 565082 625898 766897 771134 849433 914774 1046539 1049438 1127042 1130164 1251796 1533794 1542268 1698866 1829548 2093078 2098876 2254084 3067588 3397732 3673033 4186156 5368279 5946031 7325773 7346066 9969661 10736558 11892062 14571043 14651546 14692132 19939322 21473116 23784124 29142086 29303092 39878644 58284172 69787627 101997301 139575254 189423559 203994602 279150508 378847118 407989204 757694236 1325964913 2651929826 5303859652