42247584 has 72 divisors (see below), whose sum is σ = 127223460. Its totient is φ = 13252608.

The previous prime is 42247571. The next prime is 42247603. The reversal of 42247584 is 48574224.

It can be written as a sum of positive squares in 2 ways, for example, as 38787984 + 3459600 = 6228^2 + 1860^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582 + ... + 9210.

Almost surely, 2^42247584 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 42247584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63611730).

42247584 is an abundant number, since it is smaller than the sum of its proper divisors (84975876).

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

42247584 is a wasteful number, since it uses less digits than its factorization.

42247584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8662 (or 8651 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42247584 is about 6499.8141511892. The cubic root of 42247584 is about 348.2843494429.

The spelling of 42247584 in words is "forty-two million, two hundred forty-seven thousand, five hundred eighty-four".