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2882661132 = 2231329976569
BaseRepresentation
bin1010101111010001…
…1110101100001100
321102220020100200010
42223310132230030
521400430124012
61154013233220
7131302133601
oct25364365414
97386210603
102882661132
11124a206a7a
12685492810
1336c2ac960
141d4bc06a8
1511d116c3c
hexabd1eb0c

2882661132 has 96 divisors (see below), whose sum is σ = 7571793600. Its totient is φ = 847429632.

The previous prime is 2882661127. The next prime is 2882661167. The reversal of 2882661132 is 2311662882.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 435544 + ... + 442112.

It is an arithmetic number, because the mean of its divisors is an integer number (78872850).

Almost surely, 22882661132 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 2882661132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785896800).

2882661132 is an abundant number, since it is smaller than the sum of its proper divisors (4689132468).

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

2882661132 is a wasteful number, since it uses less digits than its factorization.

2882661132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6713 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2882661132 is about 53690.4193688222. The cubic root of 2882661132 is about 1423.1953981268.

The spelling of 2882661132 in words is "two billion, eight hundred eighty-two million, six hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 97 116 156 174 194 291 348 377 388 582 754 1131 1164 1261 1508 2262 2522 2813 3783 4524 5044 5626 6569 7566 8439 11252 13138 15132 16878 19707 26276 33756 36569 39414 73138 78828 85397 109707 146276 170794 190501 219414 256191 341588 381002 438828 512382 571503 637193 762004 1024764 1143006 1274386 1911579 2286012 2476513 2548772 3823158 4953026 7429539 7646316 8283509 9906052 14859078 16567018 18478597 24850527 29718156 33134036 36957194 49701054 55435791 73914388 99402108 110871582 221743164 240221761 480443522 720665283 960887044 1441330566 2882661132