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830085928 = 237174192081
BaseRepresentation
bin110001011110100…
…001101100101000
32010211221201211021
4301132201230220
53200000222203
6214211342224
726366420410
oct6136415450
92124851737
10830085928
1139661a931
121b1bb1974
13102c88009
147c35b640
154cd1b5bd
hex317a1b28

830085928 has 64 divisors (see below), whose sum is σ = 1888790400. Its totient is φ = 333864960.

The previous prime is 830085923. The next prime is 830085929. The reversal of 830085928 is 829580038.

It is not an unprimeable number, because it can be changed into a prime (830085923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397848 + ... + 399928.

It is an arithmetic number, because the mean of its divisors is an integer number (29512350).

Almost surely, 2830085928 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 830085928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944395200).

830085928 is an abundant number, since it is smaller than the sum of its proper divisors (1058704472).

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

830085928 is a wasteful number, since it uses less digits than its factorization.

830085928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 830085928 is about 28811.2118453910. The cubic root of 830085928 is about 939.8120674544.

The spelling of 830085928 in words is "eight hundred thirty million, eighty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 419 476 838 952 1676 2081 2933 3352 4162 5866 7123 8324 11732 14246 14567 16648 23464 28492 29134 35377 49861 56984 58268 70754 99722 116536 141508 199444 247639 283016 398888 495278 871939 990556 1743878 1981112 3487756 6103573 6975512 12207146 14822963 24414292 29645926 48828584 59291852 103760741 118583704 207521482 415042964 830085928