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5834385 = 325317409
BaseRepresentation
bin10110010000011010010001
3101222102021100
4112100122101
52443200020
6325015013
7100406604
oct26203221
911872240
105834385
113325507
121b54469
1312937cb
14abc33b
157a3a90
hex590691

5834385 has 24 divisors (see below), whose sum is σ = 10169640. Its totient is φ = 3094272.

The previous prime is 5834377. The next prime is 5834401.

5834385 is nontrivially palindromic in base 10.

5834385 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 5349969 = 696^2 + 2313^2 .

It is not a de Polignac number, because 5834385 - 23 = 5834377 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14061 + ... + 14469.

It is an arithmetic number, because the mean of its divisors is an integer number (423735).

Almost surely, 25834385 is an apocalyptic number.

It is an amenable number.

5834385 is a deficient number, since it is larger than the sum of its proper divisors (4335255).

5834385 is a wasteful number, since it uses less digits than its factorization.

5834385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 734 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5834385 is about 2415.4471635703. The cubic root of 5834385 is about 180.0245336930.

Adding to 5834385 its product of digits (57600), we get a palindrome (5891985).

It can be divided in two parts, 58 and 34385, that added together give a palindrome (34443).

The spelling of 5834385 in words is "five million, eight hundred thirty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 317 409 951 1227 1585 2045 2853 3681 4755 6135 14265 18405 129653 388959 648265 1166877 1944795 5834385