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5188329 = 325373149
BaseRepresentation
bin10011110010101011101001
3100202121001100
4103302223221
52312011304
6303112013
762046216
oct23625351
910677040
105188329
112a24083
1218a2609
1310c8723
14990b0d
156c7439
hex4f2ae9

5188329 has 24 divisors (see below), whose sum is σ = 7792200. Its totient is φ = 3324672.

The previous prime is 5188319. The next prime is 5188333. The reversal of 5188329 is 9238815.

It can be written as a sum of positive squares in 4 ways, for example, as 522729 + 4665600 = 723^2 + 2160^2 .

It is not a de Polignac number, because 5188329 - 25 = 5188297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5188293 and 5188302.

It is not an unprimeable number, because it can be changed into a prime (5188319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34747 + ... + 34895.

It is an arithmetic number, because the mean of its divisors is an integer number (324675).

Almost surely, 25188329 is an apocalyptic number.

It is an amenable number.

5188329 is a deficient number, since it is larger than the sum of its proper divisors (2603871).

5188329 is a wasteful number, since it uses less digits than its factorization.

5188329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 278 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 5188329 is about 2277.7903766589. The cubic root of 5188329 is about 173.1181101751.

The spelling of 5188329 in words is "five million, one hundred eighty-eight thousand, three hundred twenty-nine".

Divisors: 1 3 9 53 73 149 159 219 447 477 657 1341 3869 7897 10877 11607 23691 32631 34821 71073 97893 576481 1729443 5188329