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5359584 = 25355829
BaseRepresentation
bin10100011100011111100000
3101002021222010
4110130133200
52333001314
6310512520
763361416
oct24343740
911067863
105359584
11303080a
121965740
131158669
149d72b6
1570d059
hex51c7e0

5359584 has 24 divisors (see below), whose sum is σ = 14069160. Its totient is φ = 1786496.

The previous prime is 5359583. The next prime is 5359589. The reversal of 5359584 is 4859535.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5359583) 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 3 ways as a sum of consecutive naturals, for example, 27819 + ... + 28010.

It is an arithmetic number, because the mean of its divisors is an integer number (586215).

Almost surely, 25359584 is an apocalyptic number.

It is an amenable number.

5359584 is an abundant number, since it is smaller than the sum of its proper divisors (8709576).

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

5359584 is a wasteful number, since it uses less digits than its factorization.

5359584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55842 (or 55834 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The square root of 5359584 is about 2315.0775364985. The cubic root of 5359584 is about 175.0022748004.

The spelling of 5359584 in words is "five million, three hundred fifty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 55829 111658 167487 223316 334974 446632 669948 893264 1339896 1786528 2679792 5359584