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5356329 = 311292193
BaseRepresentation
bin10100011011101100101001
3101002010111120
4110123230221
52332400304
6310445453
763346056
oct24335451
911063446
105356329
113029320
121963889
131157034
149d602d
1570c0d9
hex51bb29

5356329 has 24 divisors (see below), whose sum is σ = 8110752. Its totient is φ = 3118080.

The previous prime is 5356327. The next prime is 5356331. The reversal of 5356329 is 9236535.

5356329 = 612 + 622 + ... + 2532.

It is an interprime number because it is at equal distance from previous prime (5356327) and next prime (5356331).

It is not a de Polignac number, because 5356329 - 21 = 5356327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a d-powerful number, because it can be written as 56 + 3 + 56 + 67 + 33 + 218 + 97 .

It is a Curzon number.

5356329 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5356329.

It is not an unprimeable number, because it can be changed into a prime (5356321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27657 + ... + 27849.

It is an arithmetic number, because the mean of its divisors is an integer number (337948).

Almost surely, 25356329 is an apocalyptic number.

It is an amenable number.

5356329 is a deficient number, since it is larger than the sum of its proper divisors (2754423).

5356329 is a wasteful number, since it uses less digits than its factorization.

5356329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 236 counting only the distinct ones).

The product of its digits is 24300, while the sum is 33.

The square root of 5356329 is about 2314.3744295165. The cubic root of 5356329 is about 174.9668399755.

The spelling of 5356329 in words is "five million, three hundred fifty-six thousand, three hundred twenty-nine".

Divisors: 1 3 11 29 33 87 193 319 579 841 957 2123 2523 5597 6369 9251 16791 27753 61567 162313 184701 486939 1785443 5356329