42531800 has 48 divisors (see below), whose sum is σ = 99844800. Its totient is φ = 16848000.

The previous prime is 42531793. The next prime is 42531809. The reversal of 42531800 is 813524.

It is a super-2 number, since 2×42531800² = 3617908022480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42531809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20825 + ... + 22775.

It is an arithmetic number, because the mean of its divisors is an integer number (2080100).

Almost surely, 2^42531800 is an apocalyptic number.

42531800 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 42531800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49922400).

42531800 is an abundant number, since it is smaller than the sum of its proper divisors (57313000).

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

42531800 is a wasteful number, since it uses less digits than its factorization.

42531800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 42531800 is about 6521.6408978109. The cubic root of 42531800 is about 349.0636195162.

The spelling of 42531800 in words is "forty-two million, five hundred thirty-one thousand, eight hundred".