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58188013 = 1319376367
BaseRepresentation
bin1101110111111…
…0000011101101
311001111020221121
43131332003231
5104344004023
65435100541
71304406232
oct335760355
9131436847
1058188013
112a933574
12175a1751
13c0942a0
147a29789
155195d5d
hex377e0ed

58188013 has 16 divisors (see below), whose sum is σ = 67755520. Its totient is φ = 49502016.

The previous prime is 58187993. The next prime is 58188029. The reversal of 58188013 is 31088185.

It is a cyclic number.

It is not a de Polignac number, because 58188013 - 25 = 58187981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 58188013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58188043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5956 + ... + 12322.

It is an arithmetic number, because the mean of its divisors is an integer number (4234720).

Almost surely, 258188013 is an apocalyptic number.

It is an amenable number.

58188013 is a deficient number, since it is larger than the sum of its proper divisors (9567507).

58188013 is a wasteful number, since it uses less digits than its factorization.

58188013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436.

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 58188013 is about 7628.1067769139. The cubic root of 58188013 is about 387.5054744978.

It can be divided in two parts, 5818 and 8013, that added together give a palindrome (13831).

The spelling of 58188013 in words is "fifty-eight million, one hundred eighty-eight thousand, thirteen".

Divisors: 1 13 19 37 247 481 703 6367 9139 82771 120973 235579 1572649 3062527 4476001 58188013