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853478112 = 253233137337
BaseRepresentation
bin110010110111110…
…000101011100000
32012110222011212110
4302313300223200
53221442244422
6220404555320
730102305244
oct6267605340
92173864773
10853478112
113a8847813
121b99b2b40
13107a88446
14814ca424
154eddc60c
hex32df0ae0

853478112 has 192 divisors, whose sum is σ = 2485776384. Its totient is φ = 255467520.

The previous prime is 853478111. The next prime is 853478141. The reversal of 853478112 is 211874358.

853478112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853478111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2532408 + ... + 2532744.

It is an arithmetic number, because the mean of its divisors is an integer number (12946752).

Almost surely, 2853478112 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 853478112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242888192).

853478112 is an abundant number, since it is smaller than the sum of its proper divisors (1632298272).

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

853478112 is a wasteful number, since it uses less digits than its factorization.

853478112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 853478112 is about 29214.3477079328. The cubic root of 853478112 is about 948.5585200671.

The spelling of 853478112 in words is "eight hundred fifty-three million, four hundred seventy-eight thousand, one hundred twelve".