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5859968 = 27172693
BaseRepresentation
bin10110010110101010000000
3102000201100212
4112112222000
53000004333
6325333252
7100544312
oct26265200
912021325
105859968
113342754
121b67228
1312a234a
14ac77b2
157ab448
hex596a80

5859968 has 32 divisors (see below), whose sum is σ = 12365460. Its totient is φ = 2756608.

The previous prime is 5859967. The next prime is 5859977. The reversal of 5859968 is 8699585.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5798464 + 61504 = 2408^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×58599682 = 68678449922048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5859967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 830 + ... + 3522.

Almost surely, 25859968 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 5859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182730).

5859968 is an abundant number, since it is smaller than the sum of its proper divisors (6505492).

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

5859968 is a wasteful number, since it uses less digits than its factorization.

5859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2712 counting only the distinct ones).

The product of its digits is 777600, while the sum is 50.

The square root of 5859968 is about 2420.7370778339. The cubic root of 5859968 is about 180.2872778895.

The spelling of 5859968 in words is "five million, eight hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2693 5386 10772 21544 43088 45781 86176 91562 172352 183124 344704 366248 732496 1464992 2929984 5859968