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62052 = 2235171

62052 has 12 divisors (see below), whose sum is σ = 144816. Its totient is φ = 20680.

The previous prime is 62047. The next prime is 62053. The reversal of 62052 is 25026.

62052 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (62053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2574 + ... + 2597.

It is an arithmetic number, because the mean of its divisors is an integer number (12068).

262052 is an apocalyptic number.

It is an amenable number.

62052 is an abundant number, since it is smaller than the sum of its proper divisors (82764).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72408).

62052 is a wasteful number, since it uses less digits than its factorization.

62052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 62052 is about 249.1023885875. The cubic root of 62052 is about 39.5899780781.

Adding to 62052 its reverse (25026), we get a palindrome (87078).

The spelling of 62052 in words is "sixty-two thousand, fifty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 5171 10342 15513 20684 31026 62052