42733964 has 96 divisors (see below), whose sum is σ = 100101120. Its totient is φ = 15489792.

The previous prime is 42733949. The next prime is 42733967. The reversal of 42733964 is 46933724.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (42733967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255809 + ... + 255975.

It is an arithmetic number, because the mean of its divisors is an integer number (1042720).

Almost surely, 2^42733964 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 42733964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50050560).

42733964 is an abundant number, since it is smaller than the sum of its proper divisors (57367156).

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

42733964 is a wasteful number, since it uses less digits than its factorization.

42733964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its digits is 108864, while the sum is 38.

The square root of 42733964 is about 6537.1219967200. The cubic root of 42733964 is about 349.6158069993.

The spelling of 42733964 in words is "forty-two million, seven hundred thirty-three thousand, nine hundred sixty-four".