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856368672 = 25327132917
BaseRepresentation
bin110011000010110…
…010011000100000
32012200102000222020
4303002302120200
53223212244142
6220550541440
730136004445
oct6302623040
92180360866
10856368672
113aa441505
121ba967880
1310855b033
1481a3d9cc
15502adcec
hex330b2620

856368672 has 48 divisors (see below), whose sum is σ = 2256331392. Its totient is φ = 284394240.

The previous prime is 856368649. The next prime is 856368679. The reversal of 856368672 is 276863658.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (856368679) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9558 + ... + 42474.

It is an arithmetic number, because the mean of its divisors is an integer number (47006904).

Almost surely, 2856368672 is an apocalyptic number.

It is an amenable number.

856368672 is an abundant number, since it is smaller than the sum of its proper divisors (1399962720).

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

856368672 is a wasteful number, since it uses less digits than its factorization.

856368672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33201 (or 33193 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 856368672 is about 29263.7774731835. Note that the first 3 decimals coincide. The cubic root of 856368672 is about 949.6281728618.

The spelling of 856368672 in words is "eight hundred fifty-six million, three hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 1084 1626 2168 3252 4336 6504 8672 13008 26016 32917 65834 98751 131668 197502 263336 395004 526672 790008 1053344 1580016 3160032 8920507 17841014 26761521 35682028 53523042 71364056 107046084 142728112 214092168 285456224 428184336 856368672