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58058319 = 311192931103
BaseRepresentation
bin1101110101111…
…0011001001111
311001020200001010
43131132121033
5104330331234
65432220303
71303326144
oct335363117
9131220033
1058058319
112a855090
121753a693
13c04a247
1479d43cb
15516c6e9
hex375e64f

58058319 has 64 divisors (see below), whose sum is σ = 95846400. Its totient is φ = 30844800.

The previous prime is 58058311. The next prime is 58058321. The reversal of 58058319 is 91385085.

It is not a de Polignac number, because 58058319 - 23 = 58058311 is a prime.

It is a super-2 number, since 2×580583192 = 6741536810211522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58058311) 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 63 ways as a sum of consecutive naturals, for example, 563622 + ... + 563724.

It is an arithmetic number, because the mean of its divisors is an integer number (1497600).

Almost surely, 258058319 is an apocalyptic number.

58058319 is a deficient number, since it is larger than the sum of its proper divisors (37788081).

58058319 is a wasteful number, since it uses less digits than its factorization.

58058319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 58058319 is about 7619.6009738043. The cubic root of 58058319 is about 387.2173594850.

The spelling of 58058319 in words is "fifty-eight million, fifty-eight thousand, three hundred nineteen".

Divisors: 1 3 11 19 29 31 33 57 87 93 103 209 309 319 341 551 589 627 899 957 1023 1133 1653 1767 1957 2697 2987 3193 3399 5871 6061 6479 8961 9579 9889 17081 18183 19437 21527 29667 32857 35123 51243 56753 60667 64581 92597 98571 105369 170259 182001 187891 277791 563673 624283 667337 1018567 1759343 1872849 2002011 3055701 5278029 19352773 58058319