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5813864 = 2371731197
BaseRepresentation
bin10110001011011001101000
3101221101010022
4112023121220
52442020424
6324340012
7100263020
oct26133150
911841108
105813864
113311051
121b44608
131287374
14ab4a80
1579c95e
hex58b668

5813864 has 64 divisors (see below), whose sum is σ = 13685760. Its totient is φ = 2257920.

The previous prime is 5813861. The next prime is 5813879. The reversal of 5813864 is 4683185.

It is a super-2 number, since 2×58138642 = 67602029220992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5813861) 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 15 ways as a sum of consecutive naturals, for example, 29414 + ... + 29610.

It is an arithmetic number, because the mean of its divisors is an integer number (213840).

Almost surely, 25813864 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 5813864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842880).

5813864 is an abundant number, since it is smaller than the sum of its proper divisors (7871896).

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

5813864 is a wasteful number, since it uses less digits than its factorization.

5813864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 5813864 is about 2411.1955540769. The cubic root of 5813864 is about 179.8132218934.

The spelling of 5813864 in words is "five million, eight hundred thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 119 124 136 197 217 238 248 394 434 476 527 788 868 952 1054 1379 1576 1736 2108 2758 3349 3689 4216 5516 6107 6698 7378 11032 12214 13396 14756 23443 24428 26792 29512 42749 46886 48856 85498 93772 103819 170996 187544 207638 341992 415276 726733 830552 1453466 2906932 5813864