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BaseRepresentation
bin11111011000
32202101
4133120
531013
613144
75566
oct3730
92671
102008
111566
1211b4
13bb6
14a36
158dd
hex7d8

2008 has 8 divisors (see below), whose sum is σ = 3780. Its totient is φ = 1000.

The previous prime is 2003. The next prime is 2011. The reversal of 2008 is 8002.

It can be divided in two parts, 200 and 8, that multiplied together give a square (1600 = 402).

It is a happy number.

2008 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (10) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 7, base 11 and base 15.

It is a nialpdrome in base 13.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1985 and 2003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003) by changing a digit.

2008 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 as a sum of consecutive naturals, namely, 118 + ... + 133.

22008 is an apocalyptic number.

It is an amenable number.

2008 is a deficient number, since it is larger than the sum of its proper divisors (1772).

2008 is a wasteful number, since it uses less digits than its factorization.

2008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2008 is about 44.8107130048. The cubic root of 2008 is about 12.6159870973.

The spelling of 2008 in words is "two thousand, eight".

Divisors: 1 2 4 8 251 502 1004 2008