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8809982442 = 23329311731049
BaseRepresentation
bin10000011010001110…
…11010100111101010
3211201222112110221000
420031013122213222
5121020323414232
64014112255430
7431214421002
oct101507324752
924658473830
108809982442
113811007228
12185a541576
13aa52ac881
145d80b1002
1536869527c
hex20d1da9ea

8809982442 has 128 divisors (see below), whose sum is σ = 21047040000. Its totient is φ = 2725470720.

The previous prime is 8809982393. The next prime is 8809982497. The reversal of 8809982442 is 2442899088.

8809982442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 8397934 + ... + 8398982.

It is an arithmetic number, because the mean of its divisors is an integer number (164430000).

Almost surely, 28809982442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8809982442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523520000).

8809982442 is an abundant number, since it is smaller than the sum of its proper divisors (12237057558).

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

8809982442 is a wasteful number, since it uses less digits than its factorization.

8809982442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 8809982442 is about 93861.5067106852. The cubic root of 8809982442 is about 2065.3405932158.

The spelling of 8809982442 in words is "eight billion, eight hundred nine million, nine hundred eighty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 87 93 173 174 186 261 279 346 519 522 558 783 837 899 1038 1049 1557 1566 1674 1798 2098 2697 3114 3147 4671 5017 5363 5394 6294 8091 9342 9441 10034 10726 15051 16089 16182 18882 24273 28323 30102 30421 32178 32519 45153 48267 48546 56646 60842 65038 90306 91263 96534 97557 135459 144801 155527 181477 182526 195114 270918 273789 289602 292671 311054 362954 466581 544431 547578 585342 821367 878013 933162 943051 1088862 1399743 1633293 1642734 1756026 1886102 2799486 2829153 3266586 4199229 4899879 5262833 5625787 5658306 8398458 8487459 9799758 10525666 11251574 15788499 16877361 16974918 25462377 31576998 33754722 47365497 50632083 50924754 94730994 101264166 142096491 151896249 163147823 284192982 303792498 326295646 489443469 978886938 1468330407 2936660814 4404991221 8809982442