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5832385 = 513531693
BaseRepresentation
bin10110001111111011000001
3101222022112021
4112033323001
52443114020
6325001441
7100401016
oct26177301
911868467
105832385
113323a59
121b53281
131292920
14abb70d
157a31aa
hex58fec1

5832385 has 16 divisors (see below), whose sum is σ = 7683984. Its totient is φ = 4223232.

The previous prime is 5832361. The next prime is 5832389.

5832385 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 258064 + 5574321 = 508^2 + 2361^2 .

It is not a de Polignac number, because 5832385 - 25 = 5832353 is a prime.

It is an Ulam number.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5832385.

It is not an unprimeable number, because it can be changed into a prime (5832389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2599 + ... + 4291.

It is an arithmetic number, because the mean of its divisors is an integer number (480249).

Almost surely, 25832385 is an apocalyptic number.

It is an amenable number.

5832385 is a deficient number, since it is larger than the sum of its proper divisors (1851599).

5832385 is a wasteful number, since it uses less digits than its factorization.

5832385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764.

The product of its digits is 28800, while the sum is 34.

The square root of 5832385 is about 2415.0331260668. The cubic root of 5832385 is about 180.0039608182.

The spelling of 5832385 in words is "five million, eight hundred thirty-two thousand, three hundred eighty-five".

Divisors: 1 5 13 53 65 265 689 1693 3445 8465 22009 89729 110045 448645 1166477 5832385