42540792 has 64 divisors (see below), whose sum is σ = 122304000. Its totient is φ = 12078720.

The previous prime is 42540763. The next prime is 42540793. The reversal of 42540792 is 29704524.

42540792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42540793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29709 + ... + 31107.

It is an arithmetic number, because the mean of its divisors is an integer number (1911000).

Almost surely, 2^42540792 is an apocalyptic number.

42540792 is a gapful number since it is divisible by the number (42) 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 42540792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152000).

42540792 is an abundant number, since it is smaller than the sum of its proper divisors (79763208).

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

42540792 is a wasteful number, since it uses less digits than its factorization.

42540792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 42540792 is about 6522.3302584276. The cubic root of 42540792 is about 349.0882172595.

The spelling of 42540792 in words is "forty-two million, five hundred forty thousand, seven hundred ninety-two".