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849968112 = 24372389929
BaseRepresentation
bin110010101010010…
…111101111110000
32012020100212001110
4302222113233300
53220042434422
6220201433320
730030416100
oct6252275760
92166325043
10849968112
113a686a694
121b879b840
13107129916
1480c55200
154e94760c
hex32a97bf0

849968112 has 120 divisors (see below), whose sum is σ = 2563563600. Its totient is φ = 241963008.

The previous prime is 849968087. The next prime is 849968113. The reversal of 849968112 is 211869948.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849968113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 914464 + ... + 915392.

It is an arithmetic number, because the mean of its divisors is an integer number (21363030).

Almost surely, 2849968112 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 849968112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281781800).

849968112 is an abundant number, since it is smaller than the sum of its proper divisors (1713595488).

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

849968112 is a wasteful number, since it uses less digits than its factorization.

849968112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1330 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 849968112 is about 29154.2125944091. The cubic root of 849968112 is about 947.2563913556.

The spelling of 849968112 in words is "eight hundred forty-nine million, nine hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 389 392 588 778 784 929 1167 1176 1556 1858 2334 2352 2723 2787 3112 3716 4668 5446 5574 6224 6503 7432 8169 9336 10892 11148 13006 14864 16338 18672 19061 19509 21784 22296 26012 32676 38122 39018 43568 44592 45521 52024 57183 65352 76244 78036 91042 104048 114366 130704 136563 152488 156072 182084 228732 273126 304976 312144 361381 364168 457464 546252 722762 728336 914928 1084143 1092504 1445524 2168286 2185008 2529667 2891048 4336572 5059334 5782096 7589001 8673144 10118668 15178002 17346288 17707669 20237336 30356004 35415338 40474672 53123007 60712008 70830676 106246014 121424016 141661352 212492028 283322704 424984056 849968112