42052 has 6 divisors (see below), whose sum is σ = 73598. Its totient is φ = 21024.

The previous prime is 42043. The next prime is 42061. The reversal of 42052 is 25024.

42052 = T₁₄₃ + T₁₄₄ + ... + T₁₄₆.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42043) and next prime (42061).

It can be written as a sum of positive squares in only one way, i.e., 21316 + 20736 = 146^2 + 144^2 .

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is an unprimeable number.

42052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 5253 + ... + 5260.

2⁴²⁰⁵² is an apocalyptic number.

It is an amenable number.

42052 is a deficient number, since it is larger than the sum of its proper divisors (31546).

42052 is a wasteful number, since it uses less digits than its factorization.

42052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10517 (or 10515 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 42052 is about 205.0658430846. The cubic root of 42052 is about 34.7746060394.

Adding to 42052 its reverse (25024), we get a palindrome (67076).

The spelling of 42052 in words is "forty-two thousand, fifty-two", and thus it is an eban number.