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2088 = 233229
BaseRepresentation
bin100000101000
32212100
4200220
531323
613400
76042
oct4050
92770
102088
111629
121260
13c48
14a92
15943
hex828

2088 has 24 divisors (see below), whose sum is σ = 5850. Its totient is φ = 672.

The previous prime is 2087. The next prime is 2089. The reversal of 2088 is 8802.

It can be divided in two parts, 208 and 8, that added together give a cube (216 = 63).

2088 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (2087) and next prime (2089).

It can be written as a sum of positive squares in only one way, i.e., 1764 + 324 = 42^2 + 18^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

2088 is an undulating number in base 16.

It is a nialpdrome in base 14 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 2088.

It is not an unprimeable number, because it can be changed into a prime (2081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58 + ... + 86.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925).

2088 is an abundant number, since it is smaller than the sum of its proper divisors (3762).

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

2088 is a wasteful number, since it uses less digits than its factorization.

2088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2088 is about 45.6946386352. The cubic root of 2088 is about 12.7813530568.

The spelling of 2088 in words is "two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088