Search a number
-
+
4168768 = 26531229
BaseRepresentation
bin1111111001110001000000
321211210110211
433321301000
52031400033
6225203504
750301562
oct17716100
97753424
104168768
11239806a
121490594
13b2c636
147a7332
155752cd
hex3f9c40

4168768 has 28 divisors (see below), whose sum is σ = 8435340. Its totient is φ = 2043392.

The previous prime is 4168741. The next prime is 4168831. The reversal of 4168768 is 8678614.

4168768 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 3717184 + 451584 = 1928^2 + 672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4168768.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2778 + ... + 4006.

Almost surely, 24168768 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 4168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217670).

4168768 is an abundant number, since it is smaller than the sum of its proper divisors (4266572).

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

4168768 is a wasteful number, since it uses less digits than its factorization.

4168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1284 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 4168768 is about 2041.7561068845. The cubic root of 4168768 is about 160.9419437551.

The spelling of 4168768 in words is "four million, one hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1229 1696 2458 3392 4916 9832 19664 39328 65137 78656 130274 260548 521096 1042192 2084384 4168768