42517248 has 144 divisors (see below), whose sum is σ = 123621120. Its totient is φ = 12931072.

The previous prime is 42517243. The next prime is 42517249. The reversal of 42517248 is 84271524.

Its product of digits (17920) is a multiple of the sum of its prime divisors (140).

It is not an unprimeable number, because it can be changed into a prime (42517243) 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, 512215 + ... + 512297.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 2^42517248 is an apocalyptic number.

42517248 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 42517248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61810560).

42517248 is an abundant number, since it is smaller than the sum of its proper divisors (81103872).

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

42517248 is a wasteful number, since it uses less digits than its factorization.

42517248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 42517248 is about 6520.5251322267. The cubic root of 42517248 is about 349.0238049679.

The spelling of 42517248 in words is "forty-two million, five hundred seventeen thousand, two hundred forty-eight".