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58005013 = 1122923027
BaseRepresentation
bin1101110101000…
…1011000010101
311001010221220211
43131101120111
5104322130023
65431125421
71303014553
oct335213025
9131127824
1058005013
112a819030
1217513871
13c02bbc1
1479bcbd3
15515ba0d
hex3751615

58005013 has 8 divisors (see below), whose sum is σ = 63557280. Its totient is φ = 52499280.

The previous prime is 58005001. The next prime is 58005019. The reversal of 58005013 is 31050085.

58005013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 58005013 - 29 = 58004501 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 (58005019) 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, 8995 + ... + 14032.

It is an arithmetic number, because the mean of its divisors is an integer number (7944660).

Almost surely, 258005013 is an apocalyptic number.

It is an amenable number.

58005013 is a deficient number, since it is larger than the sum of its proper divisors (5552267).

58005013 is a wasteful number, since it uses less digits than its factorization.

58005013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23267.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 58005013 is about 7616.1022183266. The cubic root of 58005013 is about 387.0988158706.

Adding to 58005013 its reverse (31050085), we get a palindrome (89055098).

The spelling of 58005013 in words is "fifty-eight million, five thousand, thirteen".

Divisors: 1 11 229 2519 23027 253297 5273183 58005013