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849365055 = 335711101809
BaseRepresentation
bin110010101000000…
…100100000111111
32012012020012211000
4302220010200333
53214414140210
6220140501343
730022324650
oct6250044077
92165205730
10849365055
113a64985a0
121b854a853
13106c78296
1480b39527
154e878ac0
hex32a0483f

849365055 has 128 divisors (see below), whose sum is σ = 1903564800. Its totient is φ = 349056000.

The previous prime is 849365051. The next prime is 849365057. The reversal of 849365055 is 550563948.

It is not a de Polignac number, because 849365055 - 22 = 849365051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 849365055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849365051) 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 127 ways as a sum of consecutive naturals, for example, 1049491 + ... + 1050299.

It is an arithmetic number, because the mean of its divisors is an integer number (14871600).

Almost surely, 2849365055 is an apocalyptic number.

849365055 is an abundant number, since it is smaller than the sum of its proper divisors (1054199745).

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

849365055 is a wasteful number, since it uses less digits than its factorization.

849365055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 849365055 is about 29143.8682230070. The cubic root of 849365055 is about 947.0323104972.

The spelling of 849365055 in words is "eight hundred forty-nine million, three hundred sixty-five thousand, fifty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 101 105 135 165 189 231 297 303 315 385 495 505 693 707 809 909 945 1111 1155 1485 1515 2079 2121 2427 2727 3333 3465 3535 4045 4545 5555 5663 6363 7281 7777 8899 9999 10395 10605 12135 13635 16665 16989 19089 21843 23331 26697 28315 29997 31815 36405 38885 44495 49995 50967 62293 69993 80091 81709 84945 95445 109215 116655 133485 149985 152901 186879 209979 240273 245127 254835 311465 349965 400455 408545 560637 571963 735381 764505 898799 934395 1049895 1201365 1225635 1681911 1715889 2206143 2696397 2803185 2859815 3676905 4493995 5147667 6291593 8089191 8409555 8579445 11030715 13481985 15443001 18874779 24267573 25738335 31457965 40445955 56624337 77215005 94373895 121337865 169873011 283121685 849365055