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850874112 = 28331119231
BaseRepresentation
bin110010101101110…
…100111100000000
32012022001212212000
4302231310330000
53220310432422
6220233104000
730041211354
oct6255647400
92168055760
10850874112
113a7329350
121b8b58000
1310738610a
148100d464
154ea75cac
hex32b74f00

850874112 has 432 divisors, whose sum is σ = 2990453760. Its totient is φ = 236390400.

The previous prime is 850874047. The next prime is 850874119. The reversal of 850874112 is 211478058.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850874119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27447537 + ... + 27447567.

Almost surely, 2850874112 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 850874112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495226880).

850874112 is an abundant number, since it is smaller than the sum of its proper divisors (2139579648).

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

850874112 is a wasteful number, since it uses less digits than its factorization.

850874112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 850874112 is about 29169.7465192963. The cubic root of 850874112 is about 947.5928390917.

The spelling of 850874112 in words is "eight hundred fifty million, eight hundred seventy-four thousand, one hundred twelve".