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849057012 = 2233291731567
BaseRepresentation
bin110010100110111…
…001010011110100
32012011122120021000
4302212321103310
53214324311022
6220130123300
730016602606
oct6246712364
92164576230
10849057012
113a62a8111
121b8420530
13106b9accb
1480a99176
154e8176ac
hex329b94f4

849057012 has 96 divisors (see below), whose sum is σ = 2291788800. Its totient is φ = 271506816.

The previous prime is 849056977. The next prime is 849057043. The reversal of 849057012 is 210750948.

849057012 is a `hidden beast` number, since 84 + 9 + 0 + 570 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541053 + ... + 542619.

It is an arithmetic number, because the mean of its divisors is an integer number (23872800).

Almost surely, 2849057012 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 849057012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145894400).

849057012 is an abundant number, since it is smaller than the sum of its proper divisors (1442731788).

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

849057012 is a wasteful number, since it uses less digits than its factorization.

849057012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 849057012 is about 29138.5828756307. The cubic root of 849057012 is about 946.9178085145.

The spelling of 849057012 in words is "eight hundred forty-nine million, fifty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 173 174 261 346 348 519 522 692 783 1038 1044 1557 1566 1567 2076 3114 3132 3134 4671 4701 5017 6228 6268 9342 9402 10034 14103 15051 18684 18804 20068 28206 30102 42309 45153 45443 56412 60204 84618 90306 90886 135459 136329 169236 180612 181772 270918 271091 272658 408987 541836 542182 545316 813273 817974 1084364 1226961 1626546 1635948 2439819 2453922 3253092 4879638 4907844 7319457 7861639 9759276 14638914 15723278 23584917 29277828 31446556 47169834 70754751 94339668 141509502 212264253 283019004 424528506 849057012