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5859328 = 2112861
BaseRepresentation
bin10110010110100000000000
3102000200111011
4112112200000
52444444303
6325330304
7100542406
oct26264000
912020434
105859328
113342222
121b66994
1312a1c77
14ac7476
157ab16d
hex596800

5859328 has 24 divisors (see below), whose sum is σ = 11719890. Its totient is φ = 2928640.

The previous prime is 5859317. The next prime is 5859367. The reversal of 5859328 is 8239585.

It can be written as a sum of positive squares in only one way, i.e., 4875264 + 984064 = 2208^2 + 992^2 .

It is a super-2 number, since 2×58593282 = 68663449223168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 618 + ... + 3478.

Almost surely, 25859328 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 5859328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859945).

5859328 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

5859328 is an equidigital number, since it uses as much as digits as its factorization.

5859328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2863 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The square root of 5859328 is about 2420.6048830819. The cubic root of 5859328 is about 180.2807142553.

The spelling of 5859328 in words is "five million, eight hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2861 5722 11444 22888 45776 91552 183104 366208 732416 1464832 2929664 5859328