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86553225 = 33521111657
BaseRepresentation
bin1010010100010…
…11001010001001
320000212100201000
411022023022021
5134124200400
612331045213
72100455523
oct512131211
9200770630
1086553225
11449477a0
1224ba0809
1314c16135
14b6d0a13
1578ea600
hex528b289

86553225 has 48 divisors (see below), whose sum is σ = 173471040. Its totient is φ = 41961600.

The previous prime is 86553223. The next prime is 86553277. The reversal of 86553225 is 52235568.

It is a happy number.

86553225 is a `hidden beast` number, since 86 + 553 + 2 + 25 = 666.

It is not a de Polignac number, because 86553225 - 21 = 86553223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86553225.

It is not an unprimeable number, because it can be changed into a prime (86553221) 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 47 ways as a sum of consecutive naturals, for example, 1597 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (3613980).

Almost surely, 286553225 is an apocalyptic number.

It is an amenable number.

86553225 is an abundant number, since it is smaller than the sum of its proper divisors (86917815).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86553225 is a wasteful number, since it uses less digits than its factorization.

86553225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11687 (or 11676 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 86553225 is about 9303.3985725648. The cubic root of 86553225 is about 442.3449614856.

The spelling of 86553225 in words is "eighty-six million, five hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 11657 34971 58285 104913 128227 174855 291425 314739 384681 524565 641135 874275 1154043 1573695 1923405 2622825 3205675 3462129 5770215 7868475 9617025 17310645 28851075 86553225