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5200306608 = 243761349727
BaseRepresentation
bin1001101011111011…
…00110000110110000
3111102102021221120110
410311331212012300
541122234302413
62220004341320
7242603606520
oct46575460660
914372257513
105200306608
11222948a362
1210116a4840
1364b4c2603
14374923680
152068218c3
hex135f661b0

5200306608 has 160 divisors (see below), whose sum is σ = 15671219200. Its totient is φ = 1455252480.

The previous prime is 5200306591. The next prime is 5200306619. The reversal of 5200306608 is 8066030025.

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, 7152741 + ... + 7153467.

It is an arithmetic number, because the mean of its divisors is an integer number (97945120).

Almost surely, 25200306608 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 5200306608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7835609600).

5200306608 is an abundant number, since it is smaller than the sum of its proper divisors (10470912592).

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

5200306608 is a wasteful number, since it uses less digits than its factorization.

5200306608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5200306608 is about 72113.1514219147. The cubic root of 5200306608 is about 1732.5122607612.

The spelling of 5200306608 in words is "five billion, two hundred million, three hundred six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 349 366 427 488 698 727 732 854 976 1047 1281 1396 1454 1464 1708 2094 2181 2443 2562 2792 2908 2928 3416 4188 4362 4886 5089 5124 5584 5816 6832 7329 8376 8724 9772 10178 10248 11632 14658 15267 16752 17448 19544 20356 20496 21289 29316 30534 34896 39088 40712 42578 44347 58632 61068 63867 81424 85156 88694 117264 122136 127734 133041 149023 170312 177388 244272 253723 255468 266082 298046 310429 340624 354776 447069 507446 510936 532164 596092 620858 709552 761169 894138 931287 1014892 1021872 1064328 1192184 1241716 1522338 1776061 1788276 1862574 2029784 2128656 2384368 2483432 3044676 3552122 3576552 3725148 4059568 4966864 5328183 6089352 7104244 7153104 7450296 10656366 12178704 14208488 14900592 15477103 21312732 28416976 30954206 42625464 46431309 61908412 85250928 92862618 108339721 123816824 185725236 216679442 247633648 325019163 371450472 433358884 650038326 742900944 866717768 1300076652 1733435536 2600153304 5200306608