42248320 has 64 divisors (see below), whose sum is σ = 101787840. Its totient is φ = 16768000.

The previous prime is 42248303. The next prime is 42248321. The reversal of 42248320 is 2384224.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (42248321) 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 7 ways as a sum of consecutive naturals, for example, 160509 + ... + 160771.

It is an arithmetic number, because the mean of its divisors is an integer number (1590435).

Almost surely, 2^42248320 is an apocalyptic number.

42248320 is a gapful number since it is divisible by the number (40) 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 42248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50893920).

42248320 is an abundant number, since it is smaller than the sum of its proper divisors (59539520).

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

42248320 is a wasteful number, since it uses less digits than its factorization.

42248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 42248320 is about 6499.8707679461. The cubic root of 42248320 is about 348.2863719317.

It can be divided in two parts, 4224 and 8320, that added together give a square (12544 = 112²).

The spelling of 42248320 in words is "forty-two million, two hundred forty-eight thousand, three hundred twenty".