42888 has 16 divisors (see below), whose sum is σ = 107280. Its totient is φ = 14288.

The previous prime is 42863. The next prime is 42899. The reversal of 42888 is 88824.

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

It is a nialpdrome in base 15.

It is an unprimeable number.

42888 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 870 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (6705).

2^{42888} is an apocalyptic number.

It is an amenable number.

42888 is an abundant number, since it is smaller than the sum of its proper divisors (64392).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53640).

42888 is a wasteful number, since it uses less digits than its factorization.

42888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1792 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 42888 is about 207.0941814731. The cubic root of 42888 is about 35.0035370575.

The spelling of 42888 in words is "forty-two thousand, eight hundred eighty-eight".

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