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52083013 = 373374177
BaseRepresentation
bin1100011010101…
…1100101000101
310122000002110111
43012223211011
5101313124023
65100153021
71201461343
oct306534505
9118002414
1052083013
1127443814
1215538771
13aa37568
146cba993
15488c00d
hex31ab945

52083013 has 8 divisors (see below), whose sum is σ = 53662232. Its totient is φ = 50512896.

The previous prime is 52083001. The next prime is 52083049. The reversal of 52083013 is 31038025.

52083013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24383844 + 27699169 = 4938^2 + 5263^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 52083013 - 221 = 49985861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52083113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10381 + ... + 14557.

It is an arithmetic number, because the mean of its divisors is an integer number (6707779).

Almost surely, 252083013 is an apocalyptic number.

It is an amenable number.

52083013 is a deficient number, since it is larger than the sum of its proper divisors (1579219).

52083013 is a wasteful number, since it uses less digits than its factorization.

52083013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 52083013 is about 7216.8561714918. The cubic root of 52083013 is about 373.4496299218.

The spelling of 52083013 in words is "fifty-two million, eighty-three thousand, thirteen".

Divisors: 1 37 337 4177 12469 154549 1407649 52083013