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86417981 = 1321573257
BaseRepresentation
bin1010010011010…
…10001000111101
320000121111011222
411021222020331
5134110333411
612324123125
72066353316
oct511521075
9200544158
1086417981
1144865121
1224b364a5
1314b99700
14b69760d
1578c04db
hex526a23d

86417981 has 12 divisors (see below), whose sum is σ = 94201812. Its totient is φ = 79238016.

The previous prime is 86417963. The next prime is 86418001. The reversal of 86417981 is 18971468.

It can be written as a sum of positive squares in 6 ways, for example, as 7474756 + 78943225 = 2734^2 + 8885^2 .

It is not a de Polignac number, because 86417981 - 214 = 86401597 is a prime.

It is a super-2 number, since 2×864179812 = 14936134880232722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86417951) 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 11 ways as a sum of consecutive naturals, for example, 24905 + ... + 28161.

It is an arithmetic number, because the mean of its divisors is an integer number (7850151).

Almost surely, 286417981 is an apocalyptic number.

It is an amenable number.

86417981 is a deficient number, since it is larger than the sum of its proper divisors (7783831).

86417981 is a wasteful number, since it uses less digits than its factorization.

86417981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3427 counting only the distinct ones).

The product of its digits is 96768, while the sum is 44.

The square root of 86417981 is about 9296.1272043793. The cubic root of 86417981 is about 442.1144455663.

The spelling of 86417981 in words is "eighty-six million, four hundred seventeen thousand, nine hundred eighty-one".

Divisors: 1 13 157 169 2041 3257 26533 42341 511349 550433 6647537 86417981