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849464868 = 2237291073259
BaseRepresentation
bin110010101000011…
…100111000100100
32012012102021201210
4302220130320210
53214430333433
6220142551420
730023221650
oct6250347044
92165367653
10849464868
113a655658a
121b8598570
13106cb1845
1480b63a60
154e898463
hex32a1ce24

849464868 has 96 divisors (see below), whose sum is σ = 2365977600. Its totient is φ = 232073856.

The previous prime is 849464851. The next prime is 849464873. The reversal of 849464868 is 868464948.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 259023 + ... + 262281.

It is an arithmetic number, because the mean of its divisors is an integer number (24645600).

Almost surely, 2849464868 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 849464868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182988800).

849464868 is an abundant number, since it is smaller than the sum of its proper divisors (1516512732).

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

849464868 is a wasteful number, since it uses less digits than its factorization.

849464868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3407 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

The square root of 849464868 is about 29145.5805912320. The cubic root of 849464868 is about 947.0694058282.

The spelling of 849464868 in words is "eight hundred forty-nine million, four hundred sixty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 107 116 174 203 214 321 348 406 428 609 642 749 812 1218 1284 1498 2247 2436 2996 3103 3259 4494 6206 6518 8988 9309 9777 12412 13036 18618 19554 21721 22813 37236 39108 43442 45626 65163 68439 86884 91252 94511 130326 136878 189022 260652 273756 283533 348713 378044 567066 661577 697426 1046139 1134132 1323154 1394852 1984731 2092278 2440991 2646308 3969462 4184556 4881982 7322973 7938924 9763964 10112677 14645946 20225354 29291892 30338031 40450708 60676062 70788739 121352124 141577478 212366217 283154956 424732434 849464868