42242500 has 60 divisors (see below), whose sum is σ = 94229212. Its totient is φ = 16560000.

The previous prime is 42242479. The next prime is 42242503. The reversal of 42242500 is 524224.

It can be written as a sum of positive squares in 10 ways, for example, as 42224004 + 18496 = 6498^2 + 136^2 .

It is not an unprimeable number, because it can be changed into a prime (42242503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152362 + ... + 152638.

Almost surely, 2^42242500 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 42242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47114606).

42242500 is an abundant number, since it is smaller than the sum of its proper divisors (51986712).

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

42242500 is a wasteful number, since it uses less digits than its factorization.

42242500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 42242500 is about 6499.4230513177. The cubic root of 42242500 is about 348.2703782403.

Adding to 42242500 its reverse (524224), we get a palindrome (42766724).

It can be divided in two parts, 4224 and 2500, that added together give a square (6724 = 82²).

The spelling of 42242500 in words is "forty-two million, two hundred forty-two thousand, five hundred".