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5008 = 24313
BaseRepresentation
bin1001110010000
320212111
41032100
5130013
635104
720413
oct11620
96774
105008
113843
122a94
132383
141b7a
15173d
hex1390

5008 has 10 divisors (see below), whose sum is σ = 9734. Its totient is φ = 2496.

The previous prime is 5003. The next prime is 5009. The reversal of 5008 is 8005.

It can be written as a sum of positive squares in only one way, i.e., 2704 + 2304 = 52^2 + 48^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003) by changing a digit.

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 as a sum of consecutive naturals, namely, 141 + ... + 172.

25008 is an apocalyptic number.

It is an amenable number.

5008 is a deficient number, since it is larger than the sum of its proper divisors (4726).

5008 is a wasteful number, since it uses less digits than its factorization.

5008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 5008 is about 70.7672240518. The cubic root of 5008 is about 17.1088744789.

The spelling of 5008 in words is "five thousand, eight".

Divisors: 1 2 4 8 16 313 626 1252 2504 5008