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1888 = 2559
BaseRepresentation
bin11101100000
32120221
4131200
530023
612424
75335
oct3540
92527
101888
111467
121114
13b23
1498c
1585d
hex760

1888 has 12 divisors (see below), whose sum is σ = 3780. Its totient is φ = 928.

The previous prime is 1879. The next prime is 1889. The reversal of 1888 is 8881.

It can be divided in two parts, 188 and 8, that added together give a square (196 = 142).

It is a happy number.

1888 is nontrivially palindromic in base 7.

1888 is an admirable number.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10, base 11 and base 12.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1889) by changing a digit.

1888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3 + ... + 61.

It is an arithmetic number, because the mean of its divisors is an integer number (315).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890).

1888 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1888 is an equidigital number, since it uses as much as digits as its factorization.

1888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 61 counting only the distinct ones).

The product of its digits is 512, while the sum is 25.

The square root of 1888 is about 43.4511219648. The cubic root of 1888 is about 12.3594932117.

The spelling of 1888 in words is "one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 59 118 236 472 944 1888