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2788 = 221741
BaseRepresentation
bin101011100100
310211021
4223210
542123
620524
711062
oct5344
93737
102788
112105
121744
131366
141032
15c5d
hexae4

2788 has 12 divisors (see below), whose sum is σ = 5292. Its totient is φ = 1280.

The previous prime is 2777. The next prime is 2789. The reversal of 2788 is 8872.

2788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1024 + 1764 = 32^2 + 42^2 .

2788 is an undulating number in base 9.

It is a plaindrome in base 10 and base 13.

It is not an unprimeable number, because it can be changed into a prime (2789) by changing a digit.

2788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48 + ... + 88.

It is an arithmetic number, because the mean of its divisors is an integer number (441).

It is an amenable number.

2788 is a deficient number, since it is larger than the sum of its proper divisors (2504).

2788 is a wasteful number, since it uses less digits than its factorization.

2788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 60 counting only the distinct ones).

The product of its digits is 896, while the sum is 25.

The square root of 2788 is about 52.8015151298. The cubic root of 2788 is about 14.0744334917.

Subtracting 2788 from its reverse (8872), we obtain a square (6084 = 782).

The spelling of 2788 in words is "two thousand, seven hundred eighty-eight".

Divisors: 1 2 4 17 34 41 68 82 164 697 1394 2788