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585355053 = 32913195101
BaseRepresentation
bin100010111000111…
…100111100101101
31111210110010011210
4202320330330231
52144322330203
6134030105033
720335302333
oct4270747455
91453403153
10585355053
11280465a08
1214404b179
139436ba4a
1457a53b53
15365c8803
hex22e3cf2d

585355053 has 16 divisors (see below), whose sum is σ = 808156800. Its totient is φ = 376420800.

The previous prime is 585355031. The next prime is 585355063. The reversal of 585355053 is 350553585.

It is not a de Polignac number, because 585355053 - 28 = 585354797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585355063) 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 15 ways as a sum of consecutive naturals, for example, 112203 + ... + 117303.

It is an arithmetic number, because the mean of its divisors is an integer number (50509800).

Almost surely, 2585355053 is an apocalyptic number.

It is an amenable number.

585355053 is a deficient number, since it is larger than the sum of its proper divisors (222801747).

585355053 is a wasteful number, since it uses less digits than its factorization.

585355053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452.

The product of its (nonzero) digits is 225000, while the sum is 39.

The square root of 585355053 is about 24194.1119489846. Note that the first 3 decimals coincide. The cubic root of 585355053 is about 836.5138269056.

It can be divided in two parts, 5853 and 55053, that added together give a palindrome (60906).

The spelling of 585355053 in words is "five hundred eighty-five million, three hundred fifty-five thousand, fifty-three".

Divisors: 1 3 29 87 1319 3957 5101 15303 38251 114753 147929 443787 6728219 20184657 195118351 585355053