42254016 has 112 divisors (see below), whose sum is σ = 129235200. Its totient is φ = 11934720.

The previous prime is 42253973. The next prime is 42254041. The reversal of 42254016 is 61045224.

It is a tau number, because it is divible by the number of its divisors (112).

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

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 15 ways as a sum of consecutive naturals, for example, 200151 + ... + 200361.

Almost surely, 2^42254016 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 42254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64617600).

42254016 is an abundant number, since it is smaller than the sum of its proper divisors (86981184).

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

42254016 is a wasteful number, since it uses less digits than its factorization.

42254016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42254016 is about 6500.3089157362. The cubic root of 42254016 is about 348.3020234418.

The spelling of 42254016 in words is "forty-two million, two hundred fifty-four thousand, sixteen".