42152688 has 30 divisors (see below), whose sum is σ = 117969384. Its totient is φ = 14050848.

The previous prime is 42152687. The next prime is 42152713. The reversal of 42152688 is 88625124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42152683) 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 5 ways as a sum of consecutive naturals, for example, 146220 + ... + 146507.

Almost surely, 2^42152688 is an apocalyptic number.

42152688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42152688 is an abundant number, since it is smaller than the sum of its proper divisors (75816696).

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

42152688 is a wasteful number, since it uses less digits than its factorization.

42152688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292741 (or 292732 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 42152688 is about 6492.5101463148. The cubic root of 42152688 is about 348.0233832881.

It can be divided in two parts, 4215 and 2688, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 42152688 in words is "forty-two million, one hundred fifty-two thousand, six hundred eighty-eight".