42524200 has 48 divisors (see below), whose sum is σ = 100021500. Its totient is φ = 16811520.

The previous prime is 42524197. The next prime is 42524203. The reversal of 42524200 is 242524.

It is an interprime number because it is at equal distance from previous prime (42524197) and next prime (42524203).

It can be written as a sum of positive squares in 6 ways, for example, as 4553956 + 37970244 = 2134^2 + 6162^2 .

It is not an unprimeable number, because it can be changed into a prime (42524203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16606 + ... + 18994.

Almost surely, 2^42524200 is an apocalyptic number.

42524200 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 42524200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50010750).

42524200 is an abundant number, since it is smaller than the sum of its proper divisors (57497300).

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

42524200 is a wasteful number, since it uses less digits than its factorization.

42524200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2485 counting only the distinct ones).

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

The square root of 42524200 is about 6521.0581963359. The cubic root of 42524200 is about 349.0428269050.

Adding to 42524200 its reverse (242524), we get a palindrome (42766724).

It can be divided in two parts, 42524 and 200, that added together give a palindrome (42724).

The spelling of 42524200 in words is "forty-two million, five hundred twenty-four thousand, two hundred".