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3885768 = 2332291861
BaseRepresentation
bin1110110100101011001000
321022102021100
432310223020
51443321033
6215141400
745012525
oct16645310
97272240
103885768
112214487
121374860
13a60893
1473214c
1551b513
hex3b4ac8

3885768 has 48 divisors (see below), whose sum is σ = 10892700. Its totient is φ = 1249920.

The previous prime is 3885767. The next prime is 3885779. The reversal of 3885768 is 8675883.

3885768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3392964 + 492804 = 1842^2 + 702^2 .

It is not an unprimeable number, because it can be changed into a prime (3885767) 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 11 ways as a sum of consecutive naturals, for example, 1158 + ... + 3018.

Almost surely, 23885768 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 3885768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446350).

3885768 is an abundant number, since it is smaller than the sum of its proper divisors (7006932).

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

3885768 is a wasteful number, since it uses less digits than its factorization.

3885768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1895 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 3885768 is about 1971.2351457906. The cubic root of 3885768 is about 157.2143878989.

The spelling of 3885768 in words is "three million, eight hundred eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1861 2088 3722 5583 7444 11166 14888 16749 22332 33498 44664 53969 66996 107938 133992 161907 215876 323814 431752 485721 647628 971442 1295256 1942884 3885768