42524000 has 48 divisors (see below), whose sum is σ = 104491296. Its totient is φ = 17008000.

The previous prime is 42523997. The next prime is 42524003. The reversal of 42524000 is 42524.

It is an interprime number because it is at equal distance from previous prime (42523997) and next prime (42524003).

It is a self number, because there is not a number n which added to its sum of digits gives 42524000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42524003) 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 7 ways as a sum of consecutive naturals, for example, 1316 + ... + 9315.

It is an arithmetic number, because the mean of its divisors is an integer number (2176902).

Almost surely, 2^42524000 is an apocalyptic number.

42524000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42524000 is an abundant number, since it is smaller than the sum of its proper divisors (61967296).

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

42524000 is a wasteful number, since it uses less digits than its factorization.

42524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10656 (or 10638 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 42524000 is about 6521.0428613834. The cubic root of 42524000 is about 349.0422796976.

Adding to 42524000 its reverse (42524), we get a palindrome (42566524).

42524000 divided by its reverse (42524) gives a cube (1000 = 10³).

The spelling of 42524000 in words is "forty-two million, five hundred twenty-four thousand".