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849133680 = 243517208121
BaseRepresentation
bin110010100111001…
…100000001110000
32012011210110102120
4302213030001300
53214334234210
6220131514240
730020342253
oct6247140160
92164713376
10849133680
113a634a77a
121b8458980
13106bc6b85
1480ab909a
154e830270
hex329cc070

849133680 has 80 divisors (see below), whose sum is σ = 2787169824. Its totient is φ = 213114880.

The previous prime is 849133669. The next prime is 849133699. The reversal of 849133680 is 86331948.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99981 + ... + 108140.

Almost surely, 2849133680 is an apocalyptic number.

849133680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

849133680 is an abundant number, since it is smaller than the sum of its proper divisors (1938036144).

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

849133680 is a wasteful number, since it uses less digits than its factorization.

849133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208154 (or 208148 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 849133680 is about 29139.8984212368. The cubic root of 849133680 is about 946.9463091957.

The spelling of 849133680 in words is "eight hundred forty-nine million, one hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 208121 416242 624363 832484 1040605 1248726 1664968 2081210 2497452 3121815 3329936 3538057 4162420 4994904 6243630 7076114 8324840 9989808 10614171 12487260 14152228 16649680 17690285 21228342 24974520 28304456 35380570 42456684 49949040 53070855 56608912 70761140 84913368 106141710 141522280 169826736 212283420 283044560 424566840 849133680