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5756064 = 253173527
BaseRepresentation
bin10101111101010010100000
3101211102211120
4111331102200
52433143224
6323212240
766632346
oct25752240
911742746
105756064
113281686
121b17080
131266c72
14a9b996
1578a779
hex57d4a0

5756064 has 48 divisors (see below), whose sum is σ = 16003008. Its totient is φ = 1805312.

The previous prime is 5756063. The next prime is 5756083. The reversal of 5756064 is 4606575.

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

It is not an unprimeable number, because it can be changed into a prime (5756063) 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, 132 + ... + 3395.

It is an arithmetic number, because the mean of its divisors is an integer number (333396).

Almost surely, 25756064 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 5756064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001504).

5756064 is an abundant number, since it is smaller than the sum of its proper divisors (10246944).

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

5756064 is a wasteful number, since it uses less digits than its factorization.

5756064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 5756064 is about 2399.1798598688. The cubic root of 5756064 is about 179.2153499819.

The spelling of 5756064 in words is "five million, seven hundred fifty-six thousand, sixty-four".

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 3527 7054 10581 14108 21162 28216 42324 56432 59959 84648 112864 119918 169296 179877 239836 338592 359754 479672 719508 959344 1439016 1918688 2878032 5756064