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86448401 = 132836163
BaseRepresentation
bin1010010011100…
…01100100010001
320000200000220122
411021301210101
5134112322101
612324520025
72066541104
oct511614421
9200600818
1086448401
1144885a66
1224b50015
1314baa500
14b6a473b
1578c951b
hex5271911

86448401 has 12 divisors (see below), whose sum is σ = 94753008. Its totient is φ = 78824304.

The previous prime is 86448389. The next prime is 86448413. The reversal of 86448401 is 10484468.

It is an interprime number because it is at equal distance from previous prime (86448389) and next prime (86448413).

It is not a de Polignac number, because 86448401 - 26 = 86448337 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86448431) 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 11 ways as a sum of consecutive naturals, for example, 10946 + ... + 17108.

It is an arithmetic number, because the mean of its divisors is an integer number (7896084).

Almost surely, 286448401 is an apocalyptic number.

It is an amenable number.

86448401 is a deficient number, since it is larger than the sum of its proper divisors (8304607).

86448401 is a wasteful number, since it uses less digits than its factorization.

86448401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 86448401 is about 9297.7632256366. The cubic root of 86448401 is about 442.1663157269.

The spelling of 86448401 in words is "eighty-six million, four hundred forty-eight thousand, four hundred one".

Divisors: 1 13 83 169 1079 6163 14027 80119 511529 1041547 6649877 86448401