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8466 = 231783
BaseRepresentation
bin10000100010010
3102121120
42010102
5232331
6103110
733453
oct20422
912546
108466
1163a7
124a96
133b13
14312a
152796
hex2112

8466 has 16 divisors (see below), whose sum is σ = 18144. Its totient is φ = 2624.

The previous prime is 8461. The next prime is 8467. The reversal of 8466 is 6648.

8466 is nontrivially palindromic in base 4 and base 16.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (8461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (1134).

8466 is an abundant number, since it is smaller than the sum of its proper divisors (9678).

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 (9072).

8466 is a wasteful number, since it uses less digits than its factorization.

8466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105.

The product of its digits is 1152, while the sum is 24.

The square root of 8466 is about 92.0108689232. The cubic root of 8466 is about 20.3810281134.

It can be divided in two parts, 8 and 466, that added together give a palindrome (474).

The spelling of 8466 in words is "eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 17 34 51 83 102 166 249 498 1411 2822 4233 8466