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5757664 = 251121487
BaseRepresentation
bin10101111101101011100000
3101211112000211
4111331223200
52433221124
6323223504
766640123
oct25755340
911745024
105757664
113282900
121b17b94
131267903
14a9c3ba
1578ae94
hex57dae0

5757664 has 36 divisors (see below), whose sum is σ = 12467952. Its totient is φ = 2615360.

The previous prime is 5757623. The next prime is 5757701. The reversal of 5757664 is 4667575.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3129 + ... + 4615.

It is an arithmetic number, because the mean of its divisors is an integer number (346332).

Almost surely, 25757664 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 5757664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976).

5757664 is an abundant number, since it is smaller than the sum of its proper divisors (6710288).

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

5757664 is a wasteful number, since it uses less digits than its factorization.

5757664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1500 counting only the distinct ones).

The product of its digits is 176400, while the sum is 40.

The square root of 5757664 is about 2399.5132839807. The cubic root of 5757664 is about 179.2319538044.

The spelling of 5757664 in words is "five million, seven hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1487 1936 2974 3872 5948 11896 16357 23792 32714 47584 65428 130856 179927 261712 359854 523424 719708 1439416 2878832 5757664