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426912 = 2534447
BaseRepresentation
bin1101000001110100000
3210200121120
41220032200
5102130122
613052240
73425433
oct1501640
9720546
10426912
11271822
12187080
1311c415
14b181a
158675c
hex683a0

426912 has 24 divisors (see below), whose sum is σ = 1120896. Its totient is φ = 142272.

The previous prime is 426893. The next prime is 426913. The reversal of 426912 is 219624.

426912 is digitally balanced in base 3, 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 (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (426913) by changing a digit.

426912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2128 + ... + 2319.

It is an arithmetic number, because the mean of its divisors is an integer number (46704).

2426912 is an apocalyptic number.

It is an amenable number.

426912 is an abundant number, since it is smaller than the sum of its proper divisors (693984).

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

426912 is a wasteful number, since it uses less digits than its factorization.

426912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4452 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 426912 is about 653.3850319681. The cubic root of 426912 is about 75.2973087649.

The spelling of 426912 in words is "four hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4447 8894 13341 17788 26682 35576 53364 71152 106728 142304 213456 426912