42020748 has 192 divisors, whose sum is σ = 141066240. Its totient is φ = 10497600.

The previous prime is 42020743. The next prime is 42020791. The reversal of 42020748 is 84702024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42020743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257715 + ... + 257877.

It is an arithmetic number, because the mean of its divisors is an integer number (734720).

Almost surely, 2^42020748 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 42020748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70533120).

42020748 is an abundant number, since it is smaller than the sum of its proper divisors (99045492).

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

42020748 is a wasteful number, since it uses less digits than its factorization.

42020748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42020748 is about 6482.3412437174. The cubic root of 42020748 is about 347.6598936380.

The spelling of 42020748 in words is "forty-two million, twenty thousand, seven hundred forty-eight".