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5308288 = 27113367
BaseRepresentation
bin10100001111111110000000
3100222200121021
4110033332000
52324331123
6305435224
763056026
oct24177600
910880537
105308288
112aa6217
12193bb14
13113b1cb
149c2716
156ecc5d
hex50ff80

5308288 has 32 divisors (see below), whose sum is σ = 10697760. Its totient is φ = 2623488.

The previous prime is 5308273. The next prime is 5308291. The reversal of 5308288 is 8828035.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 14281 + ... + 14647.

It is an arithmetic number, because the mean of its divisors is an integer number (334305).

Almost surely, 25308288 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 5308288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348880).

5308288 is an abundant number, since it is smaller than the sum of its proper divisors (5389472).

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

5308288 is a wasteful number, since it uses less digits than its factorization.

5308288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 5308288 is about 2303.9722220548. The cubic root of 5308288 is about 174.4421748014.

The spelling of 5308288 in words is "five million, three hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 367 452 734 904 1468 1808 2936 3616 5872 7232 11744 14464 23488 41471 46976 82942 165884 331768 663536 1327072 2654144 5308288