42481152 has 160 divisors (see below), whose sum is σ = 144038400. Its totient is φ = 12109824.

The previous prime is 42481141. The next prime is 42481157. The reversal of 42481152 is 25118424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42481157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96549 + ... + 96987.

It is an arithmetic number, because the mean of its divisors is an integer number (900240).

Almost surely, 2^42481152 is an apocalyptic number.

42481152 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 42481152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72019200).

42481152 is an abundant number, since it is smaller than the sum of its proper divisors (101557248).

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

42481152 is an equidigital number, since it uses as much as digits as its factorization.

42481152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 42481152 is about 6517.7566692843. The cubic root of 42481152 is about 348.9250063958.

Adding to 42481152 its reverse (25118424), we get a palindrome (67599576).

The spelling of 42481152 in words is "forty-two million, four hundred eighty-one thousand, one hundred fifty-two".