42193248 has 48 divisors (see below), whose sum is σ = 111335616. Its totient is φ = 13991040.

The previous prime is 42193219. The next prime is 42193253. The reversal of 42193248 is 84239124.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19215 + ... + 21297.

It is an arithmetic number, because the mean of its divisors is an integer number (2319492).

Almost surely, 2^42193248 is an apocalyptic number.

42193248 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 42193248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55667808).

42193248 is an abundant number, since it is smaller than the sum of its proper divisors (69142368).

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

42193248 is a wasteful number, since it uses less digits than its factorization.

42193248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2299 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 42193248 is about 6495.6329945587. The cubic root of 42193248 is about 348.1349720860.

The spelling of 42193248 in words is "forty-two million, one hundred ninety-three thousand, two hundred forty-eight".