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5813888 = 2753857
BaseRepresentation
bin10110001011011010000000
3101221101011012
4112023122000
52442021023
6324340052
7100263053
oct26133200
911841135
105813888
113311073
121b44628
131287392
14ab4a9a
1579c978
hex58b680

5813888 has 32 divisors (see below), whose sum is σ = 11814660. Its totient is φ = 2848768.

The previous prime is 5813887. The next prime is 5813893. The reversal of 5813888 is 8883185.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5053504 + 760384 = 2248^2 + 872^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813887) 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, 6356 + ... + 7212.

Almost surely, 25813888 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 5813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907330).

5813888 is an abundant number, since it is smaller than the sum of its proper divisors (6000772).

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

5813888 is an equidigital number, since it uses as much as digits as its factorization.

5813888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 912 counting only the distinct ones).

The product of its digits is 61440, while the sum is 41.

The square root of 5813888 is about 2411.2005308559. The cubic root of 5813888 is about 179.8134693199.

The spelling of 5813888 in words is "five million, eight hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 857 1696 1714 3392 3428 6784 6856 13712 27424 45421 54848 90842 109696 181684 363368 726736 1453472 2906944 5813888