42185052 has 144 divisors (see below), whose sum is σ = 133719040. Its totient is φ = 10917504.

The previous prime is 42184993. The next prime is 42185063. The reversal of 42185052 is 25058124.

It is a happy number.

It is a super-2 number, since 2×42185052² = 3559157224485408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258723 + ... + 258885.

Almost surely, 2^42185052 is an apocalyptic number.

42185052 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 42185052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66859520).

42185052 is an abundant number, since it is smaller than the sum of its proper divisors (91533988).

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

42185052 is a wasteful number, since it uses less digits than its factorization.

42185052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 42185052 is about 6495.0020785216. The cubic root of 42185052 is about 348.1124289925.

Subtracting from 42185052 its sum of digits (27), we obtain a square (42185025 = 6495²).

The spelling of 42185052 in words is "forty-two million, one hundred eighty-five thousand, fifty-two".