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58528269 = 32892821
BaseRepresentation
bin1101111101000…
…1001000001101
311002010112200200
43133101020031
5104440401034
65450244113
71310324232
oct337211015
9132115620
1058528269
1130046178
1217726639
13c183117
147ab7789
155211a99
hex37d120d

58528269 has 18 divisors (see below), whose sum is σ = 85605546. Its totient is φ = 38533440.

The previous prime is 58528231. The next prime is 58528277. The reversal of 58528269 is 96282585.

58528269 is a `hidden beast` number, since 585 + 2 + 8 + 2 + 69 = 666.

58528269 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 3 ways, for example, as 189225 + 58339044 = 435^2 + 7638^2 .

It is not a de Polignac number, because 58528269 - 28 = 58528013 is a prime.

It is a super-2 number, since 2×585282692 = 6851116544272722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58528369) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 70879 + ... + 71699.

Almost surely, 258528269 is an apocalyptic number.

It is an amenable number.

58528269 is a deficient number, since it is larger than the sum of its proper divisors (27077277).

58528269 is an equidigital number, since it uses as much as digits as its factorization.

58528269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 913 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 58528269 is about 7650.3770495316. The cubic root of 58528269 is about 388.2593233102.

The spelling of 58528269 in words is "fifty-eight million, five hundred twenty-eight thousand, two hundred sixty-nine".

Divisors: 1 3 9 89 267 801 821 2463 7389 7921 23763 71289 73069 219207 657621 6503141 19509423 58528269