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58385613 = 31113219229
BaseRepresentation
bin1101111010111…
…0010011001101
311001212022000010
43132232103031
5104421314423
65443223433
71306161306
oct336562315
9131768003
1058385613
112aa58a80
1217677b79
13c133200
147a7b7ad
1551d4693
hex37ae4cd

58385613 has 72 divisors (see below), whose sum is σ = 100401120. Its totient is φ = 29877120.

The previous prime is 58385563. The next prime is 58385623. The reversal of 58385613 is 31658385.

It is not a de Polignac number, because 58385613 - 29 = 58385101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (86400) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58385623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2013283 + ... + 2013311.

It is an arithmetic number, because the mean of its divisors is an integer number (1394460).

Almost surely, 258385613 is an apocalyptic number.

It is an amenable number.

58385613 is a deficient number, since it is larger than the sum of its proper divisors (42015507).

58385613 is a wasteful number, since it uses less digits than its factorization.

58385613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 75 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 58385613 is about 7641.0478993395. The cubic root of 58385613 is about 387.9436206918.

The spelling of 58385613 in words is "fifty-eight million, three hundred eighty-five thousand, six hundred thirteen".

Divisors: 1 3 11 13 19 29 33 39 57 87 143 169 209 247 319 361 377 429 507 551 627 741 957 1083 1131 1653 1859 2717 3211 3971 4147 4693 4901 5577 6061 7163 8151 9633 10469 11913 12441 14079 14703 18183 21489 31407 35321 51623 53911 61009 78793 93119 105963 115159 136097 154869 161733 183027 236379 279357 345477 408291 671099 1024309 1497067 1769261 2013297 3072927 4491201 5307783 19461871 58385613