42848 has 24 divisors (see below), whose sum is σ = 91728. Its totient is φ = 19584.

The previous prime is 42841. The next prime is 42853. The reversal of 42848 is 84824.

It is a Cunningham number, because it is equal to 207²-1.

It is a super-2 number, since 2×42848² = 3671902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a zygodrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42848.

It is not an unprimeable number, because it can be changed into a prime (42841) by changing a digit.

42848 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, 365 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2⁴²⁸⁴⁸ 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 42848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864).

42848 is an abundant number, since it is smaller than the sum of its proper divisors (48880).

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

42848 is a wasteful number, since it uses less digits than its factorization.

42848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 42848 is about 206.9975845270. The cubic root of 42848 is about 34.9926515185.

The spelling of 42848 in words is "forty-two thousand, eight hundred forty-eight".