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8418 = 232361
BaseRepresentation
bin10000011100010
3102112210
42003202
5232133
6102550
733354
oct20342
912483
108418
116363
124a56
133aa7
1430d4
152763
hex20e2

8418 has 16 divisors (see below), whose sum is σ = 17856. Its totient is φ = 2640.

The previous prime is 8389. The next prime is 8419. The reversal of 8418 is 8148.

8418 = 54 + 64 + ... + 84.

8418 is an undulating number in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 8394 and 8403.

It is not an unprimeable number, because it can be changed into a prime (8419) by changing a digit.

8418 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 7 ways as a sum of consecutive naturals, for example, 108 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (1116).

28418 is an apocalyptic number.

8418 is an abundant number, since it is smaller than the sum of its proper divisors (9438).

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 (8928).

8418 is a wasteful number, since it uses less digits than its factorization.

8418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89.

The product of its digits is 256, while the sum is 21.

The square root of 8418 is about 91.7496593999. The cubic root of 8418 is about 20.3424367252.

The spelling of 8418 in words is "eight thousand, four hundred eighteen".

Divisors: 1 2 3 6 23 46 61 69 122 138 183 366 1403 2806 4209 8418