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864256 = 212211
BaseRepresentation
bin11010011000000000000
31121220112111
43103000000
5210124011
630305104
710226461
oct3230000
91556474
10864256
11540368
12358194
132434c3
14186d68
15121121
hexd3000

864256 has 26 divisors (see below), whose sum is σ = 1736492. Its totient is φ = 430080.

The previous prime is 864251. The next prime is 864277. The reversal of 864256 is 652468.

864256 is nontrivially palindromic in base 15.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (864251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3991 + ... + 4201.

864256 is a Friedman number, since it can be written as 8^4*(6^(6/2)-5), using all its digits and the basic arithmetic operations.

2864256 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 864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868246).

864256 is an abundant number, since it is smaller than the sum of its proper divisors (872236).

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

864256 is an equidigital number, since it uses as much as digits as its factorization.

864256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 213 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 864256 is about 929.6536989654. The cubic root of 864256 is about 95.2534690102.

The spelling of 864256 in words is "eight hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 211 256 422 512 844 1024 1688 2048 3376 4096 6752 13504 27008 54016 108032 216064 432128 864256