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86642361 = 3213740533
BaseRepresentation
bin1010010101000…
…00111010111001
320001000212222100
411022200322321
5134140023421
612333014013
72101306431
oct512407271
9201025870
1086642361
11449a8763
1225024309
1314c47890
14b7152c1
157916c26
hex52a0eb9

86642361 has 12 divisors (see below), whose sum is σ = 134777188. Its totient is φ = 53318304.

The previous prime is 86642341. The next prime is 86642371. The reversal of 86642361 is 16324668.

86642361 is a `hidden beast` number, since 8 + 6 + 642 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52490025 + 34152336 = 7245^2 + 5844^2 .

It is not a de Polignac number, because 86642361 - 222 = 82448057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86642341) 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, 370150 + ... + 370383.

Almost surely, 286642361 is an apocalyptic number.

It is an amenable number.

86642361 is a deficient number, since it is larger than the sum of its proper divisors (48134827).

86642361 is a wasteful number, since it uses less digits than its factorization.

86642361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740552 (or 740549 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 86642361 is about 9308.1878472665. The cubic root of 86642361 is about 442.4967576129.

It can be divided in two parts, 8664 and 2361, that added together give a square (11025 = 1052).

The spelling of 86642361 in words is "eighty-six million, six hundred forty-two thousand, three hundred sixty-one".

Divisors: 1 3 9 13 39 117 740533 2221599 6664797 9626929 28880787 86642361