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426008 = 231147103
BaseRepresentation
bin1101000000000011000
3210122101002
41220000120
5102113013
613044132
73423002
oct1500030
9718332
10426008
11271080
12186648
1311bb9b
14b1372
1586358
hex68018

426008 has 32 divisors (see below), whose sum is σ = 898560. Its totient is φ = 187680.

The previous prime is 426007. The next prime is 426011. The reversal of 426008 is 800624.

426008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426007) 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 in 7 ways as a sum of consecutive naturals, for example, 4085 + ... + 4187.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2426008 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 426008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449280).

426008 is an abundant number, since it is smaller than the sum of its proper divisors (472552).

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

426008 is a wasteful number, since it uses less digits than its factorization.

426008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 426008 is about 652.6928833686. The cubic root of 426008 is about 75.2441230422.

The spelling of 426008 in words is "four hundred twenty-six thousand, eight".

Divisors: 1 2 4 8 11 22 44 47 88 94 103 188 206 376 412 517 824 1034 1133 2068 2266 4136 4532 4841 9064 9682 19364 38728 53251 106502 213004 426008