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830859328 = 2613998629
BaseRepresentation
bin110001100001011…
…110100001000000
32010220102000201201
4301201132201000
53200144444303
6214240110544
726406121255
oct6141364100
92126360651
10830859328
11396aa8a02
121b2305454
13103199050
147c4bd42c
154ce2081d
hex3185e840

830859328 has 28 divisors (see below), whose sum is σ = 1775564140. Its totient is φ = 383473152.

The previous prime is 830859317. The next prime is 830859349. The reversal of 830859328 is 823958038.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 403527744 + 427331584 = 20088^2 + 20672^2 .

It is a super-2 number, since 2×8308593282 = 1380654445849223168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 498483 + ... + 500146.

It is an arithmetic number, because the mean of its divisors is an integer number (63413005).

Almost surely, 2830859328 is an apocalyptic number.

It is an amenable number.

830859328 is an abundant number, since it is smaller than the sum of its proper divisors (944704812).

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

830859328 is a wasteful number, since it uses less digits than its factorization.

830859328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998654 (or 998644 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 830859328 is about 28824.6305787255. The cubic root of 830859328 is about 940.1038545281.

The spelling of 830859328 in words is "eight hundred thirty million, eight hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 998629 1997258 3994516 7989032 12982177 15978064 25964354 31956128 51928708 63912256 103857416 207714832 415429664 830859328