42985152 has 126 divisors (see below), whose sum is σ = 143419068. Its totient is φ = 12273408.

The previous prime is 42985141. The next prime is 42985169. The reversal of 42985152 is 25158924.

42985152 is a `hidden beast` number, since 429 + 85 + 152 = 666.

42985152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 27463 + ... + 28985.

Almost surely, 2^42985152 is an apocalyptic number.

42985152 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 42985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71709534).

42985152 is an abundant number, since it is smaller than the sum of its proper divisors (100433916).

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

42985152 is a wasteful number, since it uses less digits than its factorization.

42985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1535 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 42985152 is about 6556.3062771655. The cubic root of 42985152 is about 350.2994770132.

The spelling of 42985152 in words is "forty-two million, nine hundred eighty-five thousand, one hundred fifty-two".