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5842336 = 25416173
BaseRepresentation
bin10110010010010110100000
3101222211011211
4112102112200
52443423321
6325115504
7100442023
oct26222640
911884154
105842336
113330485
121b58b94
131297306
14ac11ba
157a60e1
hex5925a0

5842336 has 48 divisors (see below), whose sum is σ = 12139848. Its totient is φ = 2764800.

The previous prime is 5842327. The next prime is 5842387. The reversal of 5842336 is 6332485.

It can be written as a sum of positive squares in 4 ways, for example, as 2016400 + 3825936 = 1420^2 + 1956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5842298 and 5842307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79996 + ... + 80068.

Almost surely, 25842336 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 5842336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069924).

5842336 is an abundant number, since it is smaller than the sum of its proper divisors (6297512).

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

5842336 is a wasteful number, since it uses less digits than its factorization.

5842336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 5842336 is about 2417.0924682353. The cubic root of 5842336 is about 180.1062746900.

It can be divided in two parts, 584 and 2336, that multiplied together give a square (1364224 = 11682).

The spelling of 5842336 in words is "five million, eight hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 61 73 82 122 146 164 244 292 328 488 584 656 976 1168 1312 1952 2336 2501 2993 4453 5002 5986 8906 10004 11972 17812 20008 23944 35624 40016 47888 71248 80032 95776 142496 182573 365146 730292 1460584 2921168 5842336