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558083693 = 532613257
BaseRepresentation
bin100001010000111…
…010111001101101
31102220010120220102
4201100322321231
52120332134233
6131213400445
716554430106
oct4120727155
91386116812
10558083693
112670295a2
12136a99125
138b810a4b
14541953ad
1533edd1e8
hex2143ae6d

558083693 has 12 divisors (see below), whose sum is σ = 578314548. Its totient is φ = 538412160.

The previous prime is 558083689. The next prime is 558083717. The reversal of 558083693 is 396380855.

It is a happy number.

558083693 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 6 ways, for example, as 8743849 + 549339844 = 2957^2 + 23438^2 .

It is not a de Polignac number, because 558083693 - 22 = 558083689 is a prime.

It is a super-3 number, since 3×5580836933 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558083653) 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, 169721 + ... + 172977.

It is an arithmetic number, because the mean of its divisors is an integer number (48192879).

Almost surely, 2558083693 is an apocalyptic number.

558083693 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

558083693 is a deficient number, since it is larger than the sum of its proper divisors (20230855).

558083693 is an equidigital number, since it uses as much as digits as its factorization.

558083693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The square root of 558083693 is about 23623.7950592194. The cubic root of 558083693 is about 823.3157893002.

The spelling of 558083693 in words is "five hundred fifty-eight million, eighty-three thousand, six hundred ninety-three".

Divisors: 1 53 61 2809 3233 3257 171349 172621 198677 9148913 10529881 558083693