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8008 = 2371113
BaseRepresentation
bin1111101001000
3101222121
41331020
5224013
6101024
732230
oct17510
911877
108008
116020
124774
133850
142cc0
15258d
hex1f48

• It is the smallest number such that (here 20.00666444...) starts with 10 even digits.

8008 has 32 divisors (see below), whose sum is σ = 20160. Its totient is φ = 2880.

The previous prime is 7993. The next prime is 8009.

8008 is nontrivially palindromic in base 10 and base 12.

8008 is a nontrivial binomial coefficient, being equal to C(16, 6).

It is an Ulam number.

8008 is a strobogrammatic number because it is the same when read upside-down.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 7982 and 8000.

It is not an unprimeable number, because it can be changed into a prime (8009) by changing a digit.

8008 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610 + ... + 622.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

28008 is an apocalyptic number.

8008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

8008 is the 52-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080).

8008 is an abundant number, since it is smaller than the sum of its proper divisors (12152).

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

8008 is a wasteful number, since it uses less digits than its factorization.

8008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 8008 is about 89.4874292848. The cubic root of 8008 is about 20.0066644457.

It can be divided in two parts, 800 and 8, that multiplied together give a square (6400 = 802).

The spelling of 8008 in words is "eight thousand, eight".