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968894856 = 233283197823
BaseRepresentation
bin111001110000000…
…010100110001000
32111112010221212200
4321300002212020
53441014113411
6240050440200
733003320226
oct7160024610
92445127780
10968894856
11457a09056
12230593060
13125969187
1492971b16
155a0d9e56
hex39c02988

968894856 has 96 divisors (see below), whose sum is σ = 2672429760. Its totient is φ = 317068416.

The previous prime is 968894833. The next prime is 968894891. The reversal of 968894856 is 658498869.

It is a junction number, because it is equal to n+sod(n) for n = 968894793 and 968894802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176861 + ... + 1177683.

It is an arithmetic number, because the mean of its divisors is an integer number (27837810).

Almost surely, 2968894856 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 968894856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336214880).

968894856 is an abundant number, since it is smaller than the sum of its proper divisors (1703534904).

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

968894856 is a wasteful number, since it uses less digits than its factorization.

968894856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1108 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The square root of 968894856 is about 31127.0759307713. The cubic root of 968894856 is about 989.5222181855.

The spelling of 968894856 in words is "nine hundred sixty-eight million, eight hundred ninety-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 197 249 332 394 498 591 664 747 788 823 996 1182 1494 1576 1646 1773 1992 2364 2469 2988 3292 3546 4728 4938 5976 6584 7092 7407 9876 14184 14814 16351 19752 29628 32702 49053 59256 65404 68309 98106 130808 136618 147159 162131 196212 204927 273236 294318 324262 392424 409854 486393 546472 588636 614781 648524 819708 972786 1177272 1229562 1297048 1459179 1639416 1945572 2459124 2918358 3891144 4918248 5836716 11673432 13456873 26913746 40370619 53827492 80741238 107654984 121111857 161482476 242223714 322964952 484447428 968894856