Search a number
-
+
86545809 = 32724432
BaseRepresentation
bin1010010100010…
…01010110010001
320000211222112100
411022021112101
5134123431214
612330551013
72100425100
oct512112621
9200758470
1086545809
1144942169
1224b98469
1314c1294c
14b6cc037
1578e8309
hex5289591

86545809 has 27 divisors (see below), whose sum is σ = 145749513. Its totient is φ = 49343112.

The previous prime is 86545783. The next prime is 86545813. The reversal of 86545809 is 90854568.

The square root of 86545809 is 9303.

It is a perfect power (a square), and thus also a powerful number.

86545809 is a `hidden beast` number, since 8 + 65 + 4 + 580 + 9 = 666.

It is not a de Polignac number, because 86545809 - 211 = 86543761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86545819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 195142 + ... + 195584.

Almost surely, 286545809 is an apocalyptic number.

86545809 is the 9303-rd square number.

86545809 is the 4652-nd centered octagonal number.

It is an amenable number.

86545809 is a deficient number, since it is larger than the sum of its proper divisors (59203704).

86545809 is an equidigital number, since it uses as much as digits as its factorization.

86545809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 453 counting only the distinct ones).

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

The cubic root of 86545809 is about 442.3323275488.

The spelling of 86545809 in words is "eighty-six million, five hundred forty-five thousand, eight hundred nine".

Divisors: 1 3 7 9 21 49 63 147 441 443 1329 3101 3987 9303 21707 27909 65121 195363 196249 588747 1373743 1766241 4121229 9616201 12363687 28848603 86545809