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58077 = 35239
BaseRepresentation
bin1110001011011101
32221200000
432023131
53324302
61124513
7331215
oct161335
987600
1058077
113a6a8
1229739
1320586
1417245
151231c
hexe2dd

58077 has 12 divisors (see below), whose sum is σ = 87360. Its totient is φ = 38556.

The previous prime is 58073. The next prime is 58099. The reversal of 58077 is 77085.

It is not a de Polignac number, because 58077 - 22 = 58073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

58077 is a lucky number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 58077.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58077.

It is not an unprimeable number, because it can be changed into a prime (58073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

258077 is an apocalyptic number.

It is an amenable number.

58077 is a deficient number, since it is larger than the sum of its proper divisors (29283).

58077 is an equidigital number, since it uses as much as digits as its factorization.

58077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 58077 is about 240.9917011019. The cubic root of 58077 is about 38.7258885729.

The spelling of 58077 in words is "fifty-eight thousand, seventy-seven".

Divisors: 1 3 9 27 81 239 243 717 2151 6453 19359 58077