42191800 has 48 divisors (see below), whose sum is σ = 112113360. Its totient is φ = 14465280.

The previous prime is 42191791. The next prime is 42191861. The reversal of 42191800 is 819124.

It is a happy number.

42191800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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, 13669 + ... + 16468.

It is an arithmetic number, because the mean of its divisors is an integer number (2335695).

Almost surely, 2^42191800 is an apocalyptic number.

42191800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42191800 is an abundant number, since it is smaller than the sum of its proper divisors (69921560).

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

42191800 is a wasteful number, since it uses less digits than its factorization.

42191800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30160 (or 30151 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 42191800 is about 6495.5215341033. The cubic root of 42191800 is about 348.1309895751.

The spelling of 42191800 in words is "forty-two million, one hundred ninety-one thousand, eight hundred".