42693200 has 120 divisors (see below), whose sum is σ = 115873536. Its totient is φ = 14976000.

The previous prime is 42693199. The next prime is 42693241. The reversal of 42693200 is 239624.

It is a self number, because there is not a number n which added to its sum of digits gives 42693200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136244 + ... + 136556.

Almost surely, 2^42693200 is an apocalyptic number.

42693200 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 42693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57936768).

42693200 is an abundant number, since it is smaller than the sum of its proper divisors (73180336).

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

42693200 is a wasteful number, since it uses less digits than its factorization.

42693200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 42693200 is about 6534.0033670025. The cubic root of 42693200 is about 349.5046052649.

The spelling of 42693200 in words is "forty-two million, six hundred ninety-three thousand, two hundred".