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86204977 = 1753241397
BaseRepresentation
bin1010010001101…
…10001000110001
320000012122222221
411020312020301
5134032024402
612315401041
72064505315
oct510661061
9200178887
1086204977
114472a091
1224a53181
1314b23781
14b63db45
15787c337
hex5236231

86204977 has 16 divisors (see below), whose sum is σ = 93619152. Its totient is φ = 79073280.

The previous prime is 86204971. The next prime is 86204983. The reversal of 86204977 is 77940268.

It is an interprime number because it is at equal distance from previous prime (86204971) and next prime (86204983).

It can be written as a sum of positive squares in 8 ways, for example, as 18455616 + 67749361 = 4296^2 + 8231^2 .

It is a cyclic number.

It is not a de Polignac number, because 86204977 - 211 = 86202929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86204971) 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 15 ways as a sum of consecutive naturals, for example, 216943 + ... + 217339.

It is an arithmetic number, because the mean of its divisors is an integer number (5851197).

It is a Poulet number, since it divides 286204976-1.

Almost surely, 286204977 is an apocalyptic number.

It is an amenable number.

86204977 is a deficient number, since it is larger than the sum of its proper divisors (7414175).

86204977 is a wasteful number, since it uses less digits than its factorization.

86204977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708.

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 86204977 is about 9284.6635372532. The cubic root of 86204977 is about 441.7509038489.

The spelling of 86204977 in words is "eighty-six million, two hundred four thousand, nine hundred seventy-seven".

Divisors: 1 17 53 241 397 901 4097 6749 12773 21041 95677 217141 357697 1626509 5070881 86204977