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428226 = 23149479
BaseRepresentation
bin1101000100011000010
3210202102020
41220203002
5102200401
613102310
73432321
oct1504302
9722366
10428226
11272807
12187996
1311cbb6
14b20b8
1586d36
hex688c2

428226 has 16 divisors (see below), whose sum is σ = 864000. Its totient is φ = 141488.

The previous prime is 428221. The next prime is 428227. The reversal of 428226 is 622824.

428226 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a junction number, because it is equal to n+sod(n) for n = 428196 and 428205.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428226.

It is not an unprimeable number, because it can be changed into a prime (428221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 655 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2428226 is an apocalyptic number.

428226 is an abundant number, since it is smaller than the sum of its proper divisors (435774).

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

428226 is a wasteful number, since it uses less digits than its factorization.

428226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633.

The product of its digits is 1536, while the sum is 24.

The square root of 428226 is about 654.3897920964. The cubic root of 428226 is about 75.3744826138.

The spelling of 428226 in words is "four hundred twenty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 149 298 447 479 894 958 1437 2874 71371 142742 214113 428226