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58008005 = 511295881
BaseRepresentation
bin1101110101001…
…0000111000101
311001011010000122
43131102013011
5104322224010
65431151325
71303026356
oct335220705
9131133018
1058008005
112a820300
1217515545
13c030383
1479bdd2d
15515c855
hex37521c5

58008005 has 12 divisors (see below), whose sum is σ = 76513836. Its totient is φ = 42187200.

The previous prime is 58007987. The next prime is 58008019. The reversal of 58008005 is 50080085.

58008005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43270084 + 14737921 = 6578^2 + 3839^2 .

It is not a de Polignac number, because 58008005 - 214 = 57991621 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47336 + ... + 48545.

It is an arithmetic number, because the mean of its divisors is an integer number (6376153).

Almost surely, 258008005 is an apocalyptic number.

58008005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58008005 is a deficient number, since it is larger than the sum of its proper divisors (18505831).

58008005 is a wasteful number, since it uses less digits than its factorization.

58008005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95908 (or 95897 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 58008005 is about 7616.2986417288. The cubic root of 58008005 is about 387.1054715007.

The spelling of 58008005 in words is "fifty-eight million, eight thousand, five".

Divisors: 1 5 11 55 121 605 95881 479405 1054691 5273455 11601601 58008005