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58042607 = 7217591181
BaseRepresentation
bin1101110101101…
…0100011101111
311001012212111012
43131122203233
5104324330412
65432015435
71303232300
oct335324357
9131185435
1058042607
112a8442a7
121753157b
13c04304c
1479cc7a7
155167c22
hex375a8ef

58042607 has 24 divisors (see below), whose sum is σ = 72763920. Its totient is φ = 45991680.

The previous prime is 58042597. The next prime is 58042613. The reversal of 58042607 is 70624085.

It is not a de Polignac number, because 58042607 - 210 = 58041583 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 (58042637) 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 23 ways as a sum of consecutive naturals, for example, 48557 + ... + 49737.

It is an arithmetic number, because the mean of its divisors is an integer number (3031830).

Almost surely, 258042607 is an apocalyptic number.

58042607 is a deficient number, since it is larger than the sum of its proper divisors (14721313).

58042607 is a wasteful number, since it uses less digits than its factorization.

58042607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 58042607 is about 7618.5698789208. The cubic root of 58042607 is about 387.1824261733.

The spelling of 58042607 in words is "fifty-eight million, forty-two thousand, six hundred seven".

Divisors: 1 7 17 49 59 119 413 833 1003 1181 2891 7021 8267 20077 49147 57869 69679 140539 487753 983773 1184543 3414271 8291801 58042607