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8628481932 = 223731925807
BaseRepresentation
bin10000000100100110…
…00010111110001100
3211021100000022000220
420002103002332030
5120132342410212
63544110151340
7423551613000
oct100223027614
924240008026
108628481932
11372860a204
1218097b2550
13a76801a15
145bbd46700
1535779238c
hex2024c2f8c

8628481932 has 144 divisors (see below), whose sum is σ = 24783897600. Its totient is φ = 2335126752.

The previous prime is 8628481931. The next prime is 8628482003. The reversal of 8628481932 is 2391848268.

It is not an unprimeable number, because it can be changed into a prime (8628481931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1482973 + ... + 1488779.

It is an arithmetic number, because the mean of its divisors is an integer number (172110400).

Almost surely, 28628481932 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 8628481932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391948800).

8628481932 is an abundant number, since it is smaller than the sum of its proper divisors (16155415668).

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

8628481932 is a wasteful number, since it uses less digits than its factorization.

8628481932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873 (or 5838 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 8628481932 is about 92889.6223051854. The cubic root of 8628481932 is about 2051.0588962963.

The spelling of 8628481932 in words is "eight billion, six hundred twenty-eight million, four hundred eighty-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 343 361 399 532 588 686 722 798 931 1029 1083 1372 1444 1596 1862 2058 2166 2527 2793 3724 4116 4332 5054 5586 5807 6517 7581 10108 11172 11614 13034 15162 17421 17689 19551 23228 26068 30324 34842 35378 39102 40649 53067 69684 70756 78204 81298 106134 110333 121947 123823 162596 212268 220666 243894 247646 284543 330999 371469 441332 487788 495292 569086 661998 742938 772331 853629 1138172 1323996 1485876 1544662 1707258 1991801 2096327 2316993 3089324 3414516 3983602 4192654 4633986 5406317 5975403 6288981 7967204 8385308 9267972 10812634 11950806 12577962 14674289 16218951 21625268 23901612 25155924 29348578 32437902 37844219 44022867 58697156 64875804 75688438 88045734 102720023 113532657 151376876 176091468 205440046 227065314 308160069 410880092 454130628 616320138 719040161 1232640276 1438080322 2157120483 2876160644 4314240966 8628481932