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2988 = 223283
BaseRepresentation
bin101110101100
311002200
4232230
543423
621500
711466
oct5654
94080
102988
112277
121890
13148b
141136
15d43
hexbac

2988 has 18 divisors (see below), whose sum is σ = 7644. Its totient is φ = 984.

The previous prime is 2971. The next prime is 2999. The reversal of 2988 is 8892.

It can be divided in two parts, 29 and 88, that multiplied together give a palindrome (2552).

2988 is an esthetic number in base 8, 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 (18).

It is a plaindrome in base 7, base 11, base 13 and base 14.

It is a nialpdrome in base 15.

It is a zygodrome in base 3 and base 11.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 6 + ... + 77.

22988 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 2988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822).

2988 is an abundant number, since it is smaller than the sum of its proper divisors (4656).

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

2988 is a wasteful number, since it uses less digits than its factorization.

2988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2988 is about 54.6626014749. The cubic root of 2988 is about 14.4032400117.

The spelling of 2988 in words is "two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988