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58316013 = 3272959541
BaseRepresentation
bin1101111001110…
…1010011101101
311001201202112100
43132131103231
5104412103023
65441525313
71305451350
oct336352355
9131652470
1058316013
112aa10758
1217643839
13c10a622
147a60297
1551bdc43
hex379d4ed

58316013 has 48 divisors (see below), whose sum is σ = 101462400. Its totient is φ = 31570560.

The previous prime is 58316003. The next prime is 58316047. The reversal of 58316013 is 31061385.

58316013 is a `hidden beast` number, since 58 + 3 + 1 + 601 + 3 = 666.

It is not a de Polignac number, because 58316013 - 29 = 58315501 is a prime.

It is a super-3 number, since 3×583160133 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58316003) 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 47 ways as a sum of consecutive naturals, for example, 107523 + ... + 108063.

It is an arithmetic number, because the mean of its divisors is an integer number (2113800).

Almost surely, 258316013 is an apocalyptic number.

It is an amenable number.

58316013 is a deficient number, since it is larger than the sum of its proper divisors (43146387).

58316013 is a wasteful number, since it uses less digits than its factorization.

58316013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 58316013 is about 7636.4921920997. The cubic root of 58316013 is about 387.7894068324.

Adding to 58316013 its reverse (31061385), we get a palindrome (89377398).

The spelling of 58316013 in words is "fifty-eight million, three hundred sixteen thousand, thirteen".

Divisors: 1 3 7 9 21 29 59 63 87 177 203 261 413 531 541 609 1239 1623 1711 1827 3717 3787 4869 5133 11361 11977 15399 15689 31919 34083 35931 47067 95757 107793 109823 141201 223433 287271 329469 670299 925651 988407 2010897 2776953 6479557 8330859 19438671 58316013