42575800 has 48 divisors (see below), whose sum is σ = 99591840. Its totient is φ = 16926720.

The previous prime is 42575779. The next prime is 42575807. The reversal of 42575800 is 857524.

42575800 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 (42575807) 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 11 ways as a sum of consecutive naturals, for example, 38049 + ... + 39151.

It is an arithmetic number, because the mean of its divisors is an integer number (2074830).

Almost surely, 2^42575800 is an apocalyptic number.

42575800 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 42575800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795920).

42575800 is an abundant number, since it is smaller than the sum of its proper divisors (57016040).

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

42575800 is a wasteful number, since it uses less digits than its factorization.

42575800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 42575800 is about 6525.0134099479. The cubic root of 42575800 is about 349.1839491360.

The spelling of 42575800 in words is "forty-two million, five hundred seventy-five thousand, eight hundred".