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5757008 = 242411493
BaseRepresentation
bin10101111101100001010000
3101211111010112
4111331201100
52433211013
6323220452
766635165
oct25754120
911744115
105757008
113282364
121b17728
13126751a
14a9c06c
1578aba8
hex57d850

5757008 has 20 divisors (see below), whose sum is σ = 11207988. Its totient is φ = 2864640.

The previous prime is 5757001. The next prime is 5757023. The reversal of 5757008 is 8007575.

It can be written as a sum of positive squares in 2 ways, for example, as 4700224 + 1056784 = 2168^2 + 1028^2 .

It is a super-2 number, since 2×57570082 = 66286282224128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757001) 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, 3110 + ... + 4602.

Almost surely, 25757008 is an apocalyptic number.

It is an amenable number.

5757008 is a deficient number, since it is larger than the sum of its proper divisors (5450980).

5757008 is a wasteful number, since it uses less digits than its factorization.

5757008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 5757008 is about 2399.3765856989. The cubic root of 5757008 is about 179.2251466093.

The spelling of 5757008 in words is "five million, seven hundred fifty-seven thousand, eight".

Divisors: 1 2 4 8 16 241 482 964 1493 1928 2986 3856 5972 11944 23888 359813 719626 1439252 2878504 5757008