42048 has 42 divisors (see below), whose sum is σ = 122174. Its totient is φ = 13824.

The previous prime is 42043. The next prime is 42061. The reversal of 42048 is 84024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 5184 = 192^2 + 72^2 .

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

It is a d-powerful number, because it can be written as 4³ + 2¹³ + 0 + 4⁵ + 8⁵ .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 42048.

It is not an unprimeable number, because it can be changed into a prime (42043) by changing a digit.

42048 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 5 ways as a sum of consecutive naturals, for example, 540 + ... + 612.

2⁴²⁰⁴⁸ is an apocalyptic number.

42048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61087).

42048 is an abundant number, since it is smaller than the sum of its proper divisors (80126).

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

42048 is a wasteful number, since it uses less digits than its factorization.

42048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42048 is about 205.0560898876. The cubic root of 42048 is about 34.7735034138.

It can be divided in two parts, 4 and 2048, that multiplied together give a 13-th power (8192 = 2¹³).

The spelling of 42048 in words is "forty-two thousand, forty-eight".