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5355864 = 2332731019
BaseRepresentation
bin10100011011100101011000
3101002002212100
4110123211120
52332341424
6310443400
763344523
oct24334530
911062770
105355864
113028a38
121963560
131156a67
149d5bba
1570bdc9
hex51b958

5355864 has 48 divisors (see below), whose sum is σ = 14718600. Its totient is φ = 1759104.

The previous prime is 5355863. The next prime is 5355869. The reversal of 5355864 is 4685535.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4747 + ... + 5765.

Almost surely, 25355864 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 5355864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359300).

5355864 is an abundant number, since it is smaller than the sum of its proper divisors (9362736).

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

5355864 is a wasteful number, since it uses less digits than its factorization.

5355864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1097 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5355864 is about 2314.2739682242. The cubic root of 5355864 is about 174.9617766859.

The spelling of 5355864 in words is "five million, three hundred fifty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1019 1314 1752 2038 2628 3057 4076 5256 6114 8152 9171 12228 18342 24456 36684 73368 74387 148774 223161 297548 446322 595096 669483 892644 1338966 1785288 2677932 5355864