42577392 has 80 divisors (see below), whose sum is σ = 129241728. Its totient is φ = 11907840.

The previous prime is 42577387. The next prime is 42577397. The reversal of 42577392 is 29377524.

42577392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42577387) and next prime (42577397).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 42577392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42577397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3763 + ... + 9965.

Almost surely, 2^42577392 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 42577392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64620864).

42577392 is an abundant number, since it is smaller than the sum of its proper divisors (86664336).

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

42577392 is a wasteful number, since it uses less digits than its factorization.

42577392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238 (or 6232 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 42577392 is about 6525.1354008940. The cubic root of 42577392 is about 349.1883013260.

The spelling of 42577392 in words is "forty-two million, five hundred seventy-seven thousand, three hundred ninety-two".