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5856704 = 26717769
BaseRepresentation
bin10110010101110111000000
3102000112212222
4112111313000
52444403304
6325310212
7100531640
oct26256700
912015788
105856704
113340257
121b65368
1312a0a09
14ac6520
157aa4be
hex595dc0

5856704 has 56 divisors (see below), whose sum is σ = 14081760. Its totient is φ = 2359296.

The previous prime is 5856703. The next prime is 5856707. The reversal of 5856704 is 4076585.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5856703) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7232 + ... + 8000.

It is an arithmetic number, because the mean of its divisors is an integer number (251460).

Almost surely, 25856704 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 5856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040880).

5856704 is an abundant number, since it is smaller than the sum of its proper divisors (8225056).

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

5856704 is a wasteful number, since it uses less digits than its factorization.

5856704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 5856704 is about 2420.0628091023. The cubic root of 5856704 is about 180.2537983570.

The spelling of 5856704 in words is "five million, eight hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 769 952 1088 1538 1904 3076 3808 5383 6152 7616 10766 12304 13073 21532 24608 26146 43064 49216 52292 86128 91511 104584 172256 183022 209168 344512 366044 418336 732088 836672 1464176 2928352 5856704