42162984 has 128 divisors (see below), whose sum is σ = 124416000. Its totient is φ = 13208832.

The previous prime is 42162971. The next prime is 42162997. The reversal of 42162984 is 48926124.

42162984 is a `hidden beast` number, since 4 + 21 + 629 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42162971) and next prime (42162997).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 331929 + ... + 332055.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 2^42162984 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 42162984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62208000).

42162984 is an abundant number, since it is smaller than the sum of its proper divisors (82253016).

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

42162984 is a wasteful number, since it uses less digits than its factorization.

42162984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42162984 is about 6493.3030115651. The cubic root of 42162984 is about 348.0517164519.

The spelling of 42162984 in words is "forty-two million, one hundred sixty-two thousand, nine hundred eighty-four".