42193476 has 72 divisors (see below), whose sum is σ = 116265240. Its totient is φ = 12824064.

The previous prime is 42193441. The next prime is 42193483. The reversal of 42193476 is 67439124.

It can be written as a sum of positive squares in 4 ways, for example, as 4665600 + 37527876 = 2160^2 + 6126^2 .

It is a super-3 number, since 3×42193476³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42193476.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41146 + ... + 42158.

It is an arithmetic number, because the mean of its divisors is an integer number (1614795).

Almost surely, 2^42193476 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 42193476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58132620).

42193476 is an abundant number, since it is smaller than the sum of its proper divisors (74071764).

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

42193476 is a wasteful number, since it uses less digits than its factorization.

42193476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1120 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 42193476 is about 6495.6505447876. The cubic root of 42193476 is about 348.1355991581.

The spelling of 42193476 in words is "forty-two million, one hundred ninety-three thousand, four hundred seventy-six".