42133924 has 36 divisors (see below), whose sum is σ = 86241456. Its totient is φ = 17958864.

The previous prime is 42133919. The next prime is 42133943. The reversal of 42133924 is 42933124.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42133892 and 42133901.

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 11 ways as a sum of consecutive naturals, for example, 44019 + ... + 44965.

It is an arithmetic number, because the mean of its divisors is an integer number (2395596).

Almost surely, 2^42133924 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 42133924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43120728).

42133924 is an abundant number, since it is smaller than the sum of its proper divisors (44107532).

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

42133924 is a wasteful number, since it uses less digits than its factorization.

42133924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1183 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 42133924 is about 6491.0649357405. The cubic root of 42133924 is about 347.9717354945.

The spelling of 42133924 in words is "forty-two million, one hundred thirty-three thousand, nine hundred twenty-four".