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5766016 = 27107421
BaseRepresentation
bin10101111111101110000000
3101211221111011
4111333232000
52434003031
6323330304
7100003354
oct25775600
911757434
105766016
113289103
121b20994
13126b659
14aa1464
1578d6b1
hex57fb80

5766016 has 32 divisors (see below), whose sum is σ = 11621880. Its totient is φ = 2849280.

The previous prime is 5765959. The next prime is 5766017. The reversal of 5766016 is 6106675.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5766017) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13486 + ... + 13906.

Almost surely, 25766016 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 5766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810940).

5766016 is an abundant number, since it is smaller than the sum of its proper divisors (5855864).

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

5766016 is a wasteful number, since it uses less digits than its factorization.

5766016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 5766016 is about 2401.2530062449. The cubic root of 5766016 is about 179.3185758583.

The spelling of 5766016 in words is "five million, seven hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 107 128 214 421 428 842 856 1684 1712 3368 3424 6736 6848 13472 13696 26944 45047 53888 90094 180188 360376 720752 1441504 2883008 5766016