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8642 = 229149
BaseRepresentation
bin10000111000010
3102212002
42013002
5234032
6104002
734124
oct20702
912762
108642
116547
125002
133c1a
143214
152862
hex21c2

8642 has 8 divisors (see below), whose sum is σ = 13500. Its totient is φ = 4144.

The previous prime is 8641. The next prime is 8647. The reversal of 8642 is 2468.

8642 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 8281 + 361 = 91^2 + 19^2 .

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

It is a straight-line number, since its digits are in arithmetic progression.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8642.

It is not an unprimeable number, because it can be changed into a prime (8641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 132.

28642 is an apocalyptic number.

8642 is a deficient number, since it is larger than the sum of its proper divisors (4858).

8642 is a wasteful number, since it uses less digits than its factorization.

8642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its digits is 384, while the sum is 20.

The square root of 8642 is about 92.9623579735. The cubic root of 8642 is about 20.5212945490.

It can be divided in two parts, 864 and 2, that multiplied together give a cube (1728 = 123).

The spelling of 8642 in words is "eight thousand, six hundred forty-two".

Divisors: 1 2 29 58 149 298 4321 8642