42256032 has 144 divisors (see below), whose sum is σ = 139158432. Its totient is φ = 11128320.

The previous prime is 42256021. The next prime is 42256061. The reversal of 42256032 is 23065224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42255993 and 42256011.

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, 60807 + ... + 61497.

It is an arithmetic number, because the mean of its divisors is an integer number (966378).

Almost surely, 2^42256032 is an apocalyptic number.

42256032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42256032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69579216).

42256032 is an abundant number, since it is smaller than the sum of its proper divisors (96902400).

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

42256032 is a wasteful number, since it uses less digits than its factorization.

42256032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42256032 is about 6500.4639834400. The cubic root of 42256032 is about 348.3075626842.

The spelling of 42256032 in words is "forty-two million, two hundred fifty-six thousand, thirty-two".