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830854872 = 2332172989263
BaseRepresentation
bin110001100001011…
…101011011011000
32010220101210121200
4301201131123120
53200144323442
6214240034200
726406102261
oct6141353330
92126353550
10830854872
11396aa5621
121b2302960
13103197003
147c4bb968
154ce1e34c
hex3185d6d8

830854872 has 192 divisors, whose sum is σ = 2501928000. Its totient is φ = 247898112.

The previous prime is 830854859. The next prime is 830854883. The reversal of 830854872 is 278458038.

830854872 is a `hidden beast` number, since 8 + 30 + 8 + 548 + 72 = 666.

830854872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8308548722 = 1380639636652272768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3159013 + ... + 3159275.

It is an arithmetic number, because the mean of its divisors is an integer number (13030875).

Almost surely, 2830854872 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 830854872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250964000).

830854872 is an abundant number, since it is smaller than the sum of its proper divisors (1671073128).

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

830854872 is a wasteful number, since it uses less digits than its factorization.

830854872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 830854872 is about 28824.5532836157. The cubic root of 830854872 is about 940.1021738945.

The spelling of 830854872 in words is "eight hundred thirty million, eight hundred fifty-four thousand, eight hundred seventy-two".