42090048 has 336 divisors, whose sum is σ = 164201856. Its totient is φ = 9953280.

The previous prime is 42090043. The next prime is 42090071. The reversal of 42090048 is 84009024.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (42090043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576540 + ... + 576612.

It is an arithmetic number, because the mean of its divisors is an integer number (488696).

Almost surely, 2^42090048 is an apocalyptic number.

42090048 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 42090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82100928).

42090048 is an abundant number, since it is smaller than the sum of its proper divisors (122111808).

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

42090048 is a wasteful number, since it uses less digits than its factorization.

42090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42090048 is about 6487.6843326413. The cubic root of 42090048 is about 347.8509071998.

The spelling of 42090048 in words is "forty-two million, ninety thousand, forty-eight".