42148992 has 128 divisors (see below), whose sum is σ = 121176000. Its totient is φ = 12939264.

The previous prime is 42148991. The next prime is 42148999. The reversal of 42148992 is 29984124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 42148992.

It is not an unprimeable number, because it can be changed into a prime (42148991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 386634 + ... + 386742.

Almost surely, 2^42148992 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 42148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60588000).

42148992 is an abundant number, since it is smaller than the sum of its proper divisors (79027008).

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

42148992 is a wasteful number, since it uses less digits than its factorization.

42148992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 42148992 is about 6492.2255044014. The cubic root of 42148992 is about 348.0132112834.

The spelling of 42148992 in words is "forty-two million, one hundred forty-eight thousand, nine hundred ninety-two".