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4067264 = 26103617
BaseRepresentation
bin1111100000111111000000
321122122020102
433200333000
52020123024
6223101532
746366625
oct17407700
97578212
104067264
112328883
1214418a8
13ac5386
1477c34c
155551ae
hex3e0fc0

4067264 has 28 divisors (see below), whose sum is σ = 8162544. Its totient is φ = 2010624.

The previous prime is 4067263. The next prime is 4067291. The reversal of 4067264 is 4627604.

4067264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067263) 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 3 ways as a sum of consecutive naturals, for example, 6284 + ... + 6900.

Almost surely, 24067264 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 4067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081272).

4067264 is an abundant number, since it is smaller than the sum of its proper divisors (4095280).

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

4067264 is a wasteful number, since it uses less digits than its factorization.

4067264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 4067264 is about 2016.7458937605. The cubic root of 4067264 is about 159.6249549026.

The spelling of 4067264 in words is "four million, sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 103 206 412 617 824 1234 1648 2468 3296 4936 6592 9872 19744 39488 63551 127102 254204 508408 1016816 2033632 4067264