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8427 = 3532
BaseRepresentation
bin10000011101011
3102120010
42003223
5232202
6103003
733366
oct20353
912503
108427
116371
124a63
133ab3
1430dd
15276c
hex20eb

8427 has 6 divisors (see below), whose sum is σ = 11452. Its totient is φ = 5512.

The previous prime is 8423. The next prime is 8429. The reversal of 8427 is 7248.

It is a happy number.

8427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8427 - 22 = 8423 is a prime.

It is a Duffinian number.

Its product of digits (448) is a multiple of the sum of its prime divisors (56).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (8423) 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 5 ways as a sum of consecutive naturals, for example, 133 + ... + 185.

28427 is an apocalyptic number.

8427 is a deficient number, since it is larger than the sum of its proper divisors (3025).

8427 is an equidigital number, since it uses as much as digits as its factorization.

8427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 56 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 8427 is about 91.7986928012. The cubic root of 8427 is about 20.3496837642.

Adding to 8427 its sum of digits (21), we get a palindrome (8448).

It can be divided in two parts, 84 and 27, that added together give a palindrome (111).

The spelling of 8427 in words is "eight thousand, four hundred twenty-seven".

Divisors: 1 3 53 159 2809 8427