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6389664 = 253101659
BaseRepresentation
bin11000010111111110100000
3110000121222020
4120113332200
53113432124
6344541440
7105211521
oct30277640
913017866
106389664
113674716
122181880
131429488
14bc4848
15863379
hex617fa0

6389664 has 48 divisors (see below), whose sum is σ = 16964640. Its totient is φ = 2105600.

The previous prime is 6389629. The next prime is 6389683. The reversal of 6389664 is 4669836.

6389664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9367 + ... + 10025.

It is an arithmetic number, because the mean of its divisors is an integer number (353430).

Almost surely, 26389664 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 6389664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482320).

6389664 is an abundant number, since it is smaller than the sum of its proper divisors (10574976).

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

6389664 is a wasteful number, since it uses less digits than its factorization.

6389664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 765 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 6389664 is about 2527.7784713064. The cubic root of 6389664 is about 185.5635506108.

The spelling of 6389664 in words is "six million, three hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 659 808 1212 1318 1616 1977 2424 2636 3232 3954 4848 5272 7908 9696 10544 15816 21088 31632 63264 66559 133118 199677 266236 399354 532472 798708 1064944 1597416 2129888 3194832 6389664