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5208328476 = 22321331973701
BaseRepresentation
bin1001101100111000…
…01100100100011100
3111102222101111111200
410312130030210130
541131313002401
62220452315500
7243032030061
oct46634144434
914388344450
105208328476
112232a692aa
121014312b90
13650070990
14375a10c68
152073a8686
hex13670c91c

5208328476 has 144 divisors (see below), whose sum is σ = 14790467328. Its totient is φ = 1534464000.

The previous prime is 5208328429. The next prime is 5208328481. The reversal of 5208328476 is 6748238025.

5208328476 is a `hidden beast` number, since 520 + 83 + 2 + 8 + 47 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1405426 + ... + 1409126.

Almost surely, 25208328476 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 5208328476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395233664).

5208328476 is an abundant number, since it is smaller than the sum of its proper divisors (9582138852).

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

5208328476 is a wasteful number, since it uses less digits than its factorization.

5208328476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5208328476 is about 72168.7499961029. The cubic root of 5208328476 is about 1733.4026470145.

It can be divided in two parts, 520 and 8328476, that added together give a square (8328996 = 28862).

The spelling of 5208328476 in words is "five billion, two hundred eight million, three hundred twenty-eight thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 97 117 124 156 186 194 234 279 291 372 388 403 468 558 582 806 873 1116 1164 1209 1261 1612 1746 2418 2522 3007 3492 3627 3701 3783 4836 5044 6014 7254 7402 7566 9021 11103 11349 12028 14508 14804 15132 18042 22206 22698 27063 33309 36084 39091 44412 45396 48113 54126 66618 78182 96226 108252 114731 117273 133236 144339 156364 192452 229462 234546 288678 344193 351819 358997 433017 458924 469092 577356 688386 703638 717994 866034 1032579 1076991 1376772 1407276 1435988 1491503 1732068 2065158 2153982 2983006 3230973 4130316 4307964 4474509 4666961 5966012 6461946 8949018 9333922 11128907 12923892 13423527 14000883 17898036 18667844 22257814 26847054 28001766 33386721 42002649 44515628 53694108 56003532 66773442 84005298 100160163 133546884 144675791 168010596 200320326 289351582 400640652 434027373 578703164 868054746 1302082119 1736109492 2604164238 5208328476