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5757568 = 27311451
BaseRepresentation
bin10101111101101010000000
3101211111220021
4111331222000
52433220233
6323223224
766636625
oct25755200
911744807
105757568
113282823
121b17b14
13126785b
14a9c34c
1578ae2d
hex57da80

5757568 has 32 divisors (see below), whose sum is σ = 11848320. Its totient is φ = 2784000.

The previous prime is 5757559. The next prime is 5757569. The reversal of 5757568 is 8657575.

5757568 is nontrivially palindromic in base 11.

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

It is not an unprimeable number, because it can be changed into a prime (5757569) 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, 3243 + ... + 4693.

It is an arithmetic number, because the mean of its divisors is an integer number (370260).

Almost surely, 25757568 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 5757568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924160).

5757568 is an abundant number, since it is smaller than the sum of its proper divisors (6090752).

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

5757568 is a wasteful number, since it uses less digits than its factorization.

5757568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1484 counting only the distinct ones).

The product of its digits is 294000, while the sum is 43.

The square root of 5757568 is about 2399.4932798406. The cubic root of 5757568 is about 179.2309576618.

The spelling of 5757568 in words is "five million, seven hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1451 1984 2902 3968 5804 11608 23216 44981 46432 89962 92864 179924 185728 359848 719696 1439392 2878784 5757568