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7008 = 25373
BaseRepresentation
bin1101101100000
3100121120
41231200
5211013
652240
726301
oct15540
910546
107008
1152a1
124080
133261
1427a8
152123
hex1b60

7008 has 24 divisors (see below), whose sum is σ = 18648. Its totient is φ = 2304.

The previous prime is 7001. The next prime is 7013. The reversal of 7008 is 8007.

Subtracting 7008 from its reverse (8007), we obtain a palindrome (999).

7008 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×70082 = 98224128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60 + ... + 132.

It is an arithmetic number, because the mean of its divisors is an integer number (777).

27008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9324).

7008 is an abundant number, since it is smaller than the sum of its proper divisors (11640).

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

7008 is a wasteful number, since it uses less digits than its factorization.

7008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 7008 is about 83.7137981458. The cubic root of 7008 is about 19.1365964102.

The spelling of 7008 in words is "seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008