42117152 has 48 divisors (see below), whose sum is σ = 103384512. Its totient is φ = 16408320.

The previous prime is 42117151. The next prime is 42117157. The reversal of 42117152 is 25171124.

It is a super-2 number, since 2×42117152² = 3547708985182208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42117151) 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 7 ways as a sum of consecutive naturals, for example, 6083 + ... + 11010.

It is an arithmetic number, because the mean of its divisors is an integer number (2153844).

Almost surely, 2^42117152 is an apocalyptic number.

It is an amenable number.

42117152 is an abundant number, since it is smaller than the sum of its proper divisors (61267360).

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

42117152 is a wasteful number, since it uses less digits than its factorization.

42117152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17121 (or 17113 counting only the distinct ones).

The product of its digits is 560, while the sum is 23.

The square root of 42117152 is about 6489.7728773818. The cubic root of 42117152 is about 347.9255576885.

Adding to 42117152 its reverse (25171124), we get a palindrome (67288276).

The spelling of 42117152 in words is "forty-two million, one hundred seventeen thousand, one hundred fifty-two".