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5385903 = 314912049
BaseRepresentation
bin10100100010111010101111
3101010122001220
4110202322233
52334322103
6311234423
763531225
oct24427257
911118056
105385903
113049566
121978a13
131167633
14a02b15
15715c53
hex522eaf

5385903 has 8 divisors (see below), whose sum is σ = 7230000. Its totient is φ = 3566208.

The previous prime is 5385899. The next prime is 5385937. The reversal of 5385903 is 3095835.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5385903 - 22 = 5385899 is a prime.

It is a super-2 number, since 2×53859032 = 58015902250818, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305903) 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 7 ways as a sum of consecutive naturals, for example, 5578 + ... + 6471.

It is an arithmetic number, because the mean of its divisors is an integer number (903750).

Almost surely, 25385903 is an apocalyptic number.

5385903 is a deficient number, since it is larger than the sum of its proper divisors (1844097).

5385903 is a wasteful number, since it uses less digits than its factorization.

5385903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12201.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 5385903 is about 2320.7548341003. The cubic root of 5385903 is about 175.2882650369.

It can be divided in two parts, 538 and 5903, that added together give a triangular number (6441 = T113).

The spelling of 5385903 in words is "five million, three hundred eighty-five thousand, nine hundred three".

Divisors: 1 3 149 447 12049 36147 1795301 5385903