42336288 has 144 divisors (see below), whose sum is σ = 128845080. Its totient is φ = 13160448.

The previous prime is 42336269. The next prime is 42336289. The reversal of 42336288 is 88263324.

42336288 is a `hidden beast` number, since 4 + 23 + 3 + 628 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41835024 + 501264 = 6468^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×42336288² = 3584722563237888, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (42336289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308956 + ... + 309092.

Almost surely, 2^42336288 is an apocalyptic number.

42336288 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 42336288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64422540).

42336288 is an abundant number, since it is smaller than the sum of its proper divisors (86508792).

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

42336288 is a wasteful number, since it uses less digits than its factorization.

42336288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 42336288 is about 6506.6341529242. The cubic root of 42336288 is about 348.5279343230.

It can be divided in two parts, 42336 and 288, that added together give a palindrome (42624).

The spelling of 42336288 in words is "forty-two million, three hundred thirty-six thousand, two hundred eighty-eight".