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5842305 = 3257171091
BaseRepresentation
bin10110010010010110000001
3101222211010200
4112102112001
52443423210
6325115413
7100441650
oct26222601
911884120
105842305
113330457
121b58b69
1312972b1
14ac1197
157a60c0
hex592581

5842305 has 48 divisors (see below), whose sum is σ = 12265344. Its totient is φ = 2511360.

The previous prime is 5842301. The next prime is 5842327. The reversal of 5842305 is 5032485.

5842305 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5842305 - 22 = 5842301 is a prime.

It is a super-3 number, since 3×58423053 (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

5842305 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5842301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4810 + ... + 5900.

It is an arithmetic number, because the mean of its divisors is an integer number (255528).

Almost surely, 25842305 is an apocalyptic number.

It is an amenable number.

5842305 is an abundant number, since it is smaller than the sum of its proper divisors (6423039).

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

5842305 is a wasteful number, since it uses less digits than its factorization.

5842305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5842305 is about 2417.0860555636. The cubic root of 5842305 is about 180.1059561357.

The spelling of 5842305 in words is "five million, eight hundred forty-two thousand, three hundred five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1091 1785 3273 5355 5455 7637 9819 16365 18547 22911 38185 49095 55641 68733 92735 114555 129829 166923 278205 343665 389487 649145 834615 1168461 1947435 5842305