42558048 has 144 divisors (see below), whose sum is σ = 135482256. Its totient is φ = 13063680.

The previous prime is 42558037. The next prime is 42558083. The reversal of 42558048 is 84085524.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×42558048² = 3622374899140608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100878 + ... + 101298.

It is an arithmetic number, because the mean of its divisors is an integer number (940849).

Almost surely, 2^42558048 is an apocalyptic number.

42558048 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 42558048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67741128).

42558048 is an abundant number, since it is smaller than the sum of its proper divisors (92924208).

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

42558048 is a wasteful number, since it uses less digits than its factorization.

42558048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 42558048 is about 6523.6529644058. The cubic root of 42558048 is about 349.1354115851.

The spelling of 42558048 in words is "forty-two million, five hundred fifty-eight thousand, forty-eight".