42301792 has 48 divisors (see below), whose sum is σ = 91212912. Its totient is φ = 19192320.

The previous prime is 42301781. The next prime is 42301811. The reversal of 42301792 is 29710324.

It is a super-2 number, since 2×42301792² = 3578883212822528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42301792.

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 7 ways as a sum of consecutive naturals, for example, 24543 + ... + 26209.

It is an arithmetic number, because the mean of its divisors is an integer number (1900269).

Almost surely, 2^42301792 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 42301792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45606456).

42301792 is an abundant number, since it is smaller than the sum of its proper divisors (48911120).

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

42301792 is a wasteful number, since it uses less digits than its factorization.

42301792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 42301792 is about 6503.9827798050. The cubic root of 42301792 is about 348.4332473369.

The spelling of 42301792 in words is "forty-two million, three hundred one thousand, seven hundred ninety-two".