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5842304 = 27133511
BaseRepresentation
bin10110010010010110000000
3101222211010122
4112102112000
52443423204
6325115412
7100441646
oct26222600
911884118
105842304
113330456
121b58b68
1312972b0
14ac1196
157a60be
hex592580

5842304 has 32 divisors (see below), whose sum is σ = 12537840. Its totient is φ = 2695680.

The previous prime is 5842301. The next prime is 5842327. The reversal of 5842304 is 4032485.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (26).

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 3 ways as a sum of consecutive naturals, for example, 92 + ... + 3419.

Almost surely, 25842304 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 5842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268920).

5842304 is an abundant number, since it is smaller than the sum of its proper divisors (6695536).

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

5842304 is a wasteful number, since it uses less digits than its factorization.

5842304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 5842304 is about 2417.0858487029. The cubic root of 5842304 is about 180.1059458597.

Adding to 5842304 its reverse (4032485), we get a palindrome (9874789).

The spelling of 5842304 in words is "five million, eight hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 3511 7022 14044 28088 45643 56176 91286 112352 182572 224704 365144 449408 730288 1460576 2921152 5842304