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58080593 = 973131913
BaseRepresentation
bin1101110110001…
…1110101010001
311001021210121002
43131203311101
5104332034333
65432511345
71303451114
oct335436521
9131253532
1058080593
112a86a89a
121754b555
13c05741c
1479dc57b
1551740e8
hex3763d51

58080593 has 8 divisors (see below), whose sum is σ = 58897608. Its totient is φ = 57268224.

The previous prime is 58080557. The next prime is 58080629. The reversal of 58080593 is 39508085.

It is an interprime number because it is at equal distance from previous prime (58080557) and next prime (58080629).

It can be written as a sum of positive squares in 4 ways, for example, as 2845969 + 55234624 = 1687^2 + 7432^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58080593 - 210 = 58079569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58080293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29405 + ... + 31317.

It is an arithmetic number, because the mean of its divisors is an integer number (7362201).

Almost surely, 258080593 is an apocalyptic number.

It is an amenable number.

58080593 is a deficient number, since it is larger than the sum of its proper divisors (817015).

58080593 is a wasteful number, since it uses less digits than its factorization.

58080593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323.

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 58080593 is about 7621.0624587389. The cubic root of 58080593 is about 387.2668716357.

The spelling of 58080593 in words is "fifty-eight million, eighty thousand, five hundred ninety-three".

Divisors: 1 97 313 1913 30361 185561 598769 58080593