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5759328 = 253173529
BaseRepresentation
bin10101111110000101100000
3101211121022110
4111332011200
52433244303
6323235320
766645021
oct25760540
911747273
105759328
113284083
121b18b40
1312685b3
14a9cc48
1578b703
hex57e160

5759328 has 48 divisors (see below), whose sum is σ = 16012080. Its totient is φ = 1806336.

The previous prime is 5759321. The next prime is 5759339. The reversal of 5759328 is 8239575.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5759321) 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 7 ways as a sum of consecutive naturals, for example, 133 + ... + 3396.

It is an arithmetic number, because the mean of its divisors is an integer number (333585).

Almost surely, 25759328 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 5759328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8006040).

5759328 is an abundant number, since it is smaller than the sum of its proper divisors (10252752).

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

5759328 is a wasteful number, since it uses less digits than its factorization.

5759328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3551 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 5759328 is about 2399.8599959164. The cubic root of 5759328 is about 179.2492185171.

The spelling of 5759328 in words is "five million, seven hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 3529 7058 10587 14116 21174 28232 42348 56464 59993 84696 112928 119986 169392 179979 239972 338784 359958 479944 719916 959888 1439832 1919776 2879664 5759328