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2508 = 2231119
BaseRepresentation
bin100111001100
310102220
4213030
540013
615340
710212
oct4714
93386
102508
111980
121550
1311ac
14cb2
15b23
hex9cc

2508 has 24 divisors (see below), whose sum is σ = 6720. Its totient is φ = 720.

The previous prime is 2503. The next prime is 2521. The reversal of 2508 is 8052.

2508 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13 and base 16.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (280).

2508 is a Friedman number, since it can be written as 50^2+8, using all its digits and the basic arithmetic operations.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360).

2508 is an abundant number, since it is smaller than the sum of its proper divisors (4212).

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

2508 is a wasteful number, since it uses less digits than its factorization.

2508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2508 is about 50.0799361022. The cubic root of 2508 is about 13.5865495623.

The spelling of 2508 in words is "two thousand, five hundred eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508