Search a number
426 = 2371

426 has 8 divisors (see below), whose sum is σ = 864. Its totient is φ = 140.

The previous prime is 421. The next prime is 431. The reversal of 426 is 624.

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

It is an interprime number because it is at equal distance from previous prime (421) and next prime (431).

It is a sphenic number, since it is the product of 3 distinct primes.

426 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 4, base 7, base 11, base 13, base 14 and base 16.

It is a nialpdrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 426.

It is not an unprimeable number, because it can be changed into a prime (421) by changing a digit.

426 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30 + ... + 41.

It is an arithmetic number, because the mean of its divisors is an integer number (108).

426 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432).

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

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

The sum of its prime factors is 76.

The product of its digits is 48, while the sum is 12.

The square root of 426 is about 20.6397674406. The cubic root of 426 is about 7.5243652036.

Subtracting from 426 its sum of digits (12), we obtain a palindrome (414).

Adding to 426 its product of digits (48), we get a palindrome (474).

Subtracting from 426 its product of digits (48), we obtain a triangular number (378 = T27).

It can be divided in two parts, 42 and 6, that multiplied together give a palindrome (252).

The spelling of 426 in words is "four hundred twenty-six", and thus it is an aban number.

Divisors: 1 2 3 6 71 142 213 426