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852224672 = 251315113567
BaseRepresentation
bin110010110010111…
…110101010100000
32012101121111110202
4302302332222200
53221132142142
6220322044332
730055535015
oct6262765240
92171544422
10852224672
113a8071012
121b94a96a8
13107739a70
148128170c
154ec41032
hex32cbeaa0

852224672 has 48 divisors (see below), whose sum is σ = 1818980352. Its totient is φ = 390700800.

The previous prime is 852224669. The next prime is 852224687. The reversal of 852224672 is 276422258.

852224672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56033 + ... + 69599.

It is an arithmetic number, because the mean of its divisors is an integer number (37895424).

Almost surely, 2852224672 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 852224672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909490176).

852224672 is an abundant number, since it is smaller than the sum of its proper divisors (966755680).

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

852224672 is a wasteful number, since it uses less digits than its factorization.

852224672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13741 (or 13733 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 852224672 is about 29192.8873529153. The cubic root of 852224672 is about 948.0939333771.

The spelling of 852224672 in words is "eight hundred fifty-two million, two hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 151 208 302 416 604 1208 1963 2416 3926 4832 7852 13567 15704 27134 31408 54268 62816 108536 176371 217072 352742 434144 705484 1410968 2048617 2821936 4097234 5643872 8194468 16388936 26632021 32777872 53264042 65555744 106528084 213056168 426112336 852224672