42524840 has 64 divisors (see below), whose sum is σ = 100137600. Its totient is φ = 16236288.

The previous prime is 42524819. The next prime is 42524849. The reversal of 42524840 is 4842524.

42524840 = 223² + 224² + ... + 517².

It is not an unprimeable number, because it can be changed into a prime (42524849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87077 + ... + 87563.

It is an arithmetic number, because the mean of its divisors is an integer number (1564650).

Almost surely, 2^42524840 is an apocalyptic number.

42524840 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 42524840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50068800).

42524840 is an abundant number, since it is smaller than the sum of its proper divisors (57612760).

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

42524840 is a wasteful number, since it uses less digits than its factorization.

42524840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

The square root of 42524840 is about 6521.1072679415. The cubic root of 42524840 is about 349.0445779573.

The spelling of 42524840 in words is "forty-two million, five hundred twenty-four thousand, eight hundred forty".