42000288 has 96 divisors (see below), whose sum is σ = 124250112. Its totient is φ = 12307200.

The previous prime is 42000247. The next prime is 42000289. The reversal of 42000288 is 88200024.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (42000289) by changing a digit.

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, 32095 + ... + 33377.

It is an arithmetic number, because the mean of its divisors is an integer number (1294272).

Almost surely, 2^42000288 is an apocalyptic number.

42000288 is a gapful number since it is divisible by the number (48) 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 42000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62125056).

42000288 is an abundant number, since it is smaller than the sum of its proper divisors (82249824).

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

42000288 is a wasteful number, since it uses less digits than its factorization.

42000288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 42000288 is about 6480.7629180522. The cubic root of 42000288 is about 347.6034590072.

The spelling of 42000288 in words is "forty-two million, two hundred eighty-eight", and thus it is an aban number.