42591700 has 36 divisors (see below), whose sum is σ = 93361212. Its totient is φ = 16864000.

The previous prime is 42591697. The next prime is 42591709. The reversal of 42591700 is 719524.

It is a happy number.

42591700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5673924 + 36917776 = 2382^2 + 6076^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42591709) 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, 7992 + ... + 12208.

It is an arithmetic number, because the mean of its divisors is an integer number (2593367).

Almost surely, 2^42591700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42591700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46680606).

42591700 is an abundant number, since it is smaller than the sum of its proper divisors (50769512).

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

42591700 is a wasteful number, since it uses less digits than its factorization.

42591700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 42591700 is about 6526.2316845175. The cubic root of 42591700 is about 349.2274114925.

The spelling of 42591700 in words is "forty-two million, five hundred ninety-one thousand, seven hundred".