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86441929 = 724493929
BaseRepresentation
bin1010010011011…
…11111111001001
320000122201000221
411021233333021
5134112120204
612324430041
72066513200
oct511577711
9200581027
1086441929
1144881112
1224b48321
1314ba7592
14b6a2237
1578c7654
hex526ffc9

86441929 has 12 divisors (see below), whose sum is σ = 100804500. Its totient is φ = 73909248.

The previous prime is 86441921. The next prime is 86441939. The reversal of 86441929 is 92914468.

It can be written as a sum of positive squares in 2 ways, for example, as 30969225 + 55472704 = 5565^2 + 7448^2 .

It is not a de Polignac number, because 86441929 - 23 = 86441921 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86441921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20037 + ... + 23965.

It is an arithmetic number, because the mean of its divisors is an integer number (8400375).

Almost surely, 286441929 is an apocalyptic number.

It is an amenable number.

86441929 is a deficient number, since it is larger than the sum of its proper divisors (14362571).

86441929 is a wasteful number, since it uses less digits than its factorization.

86441929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4385 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 86441929 is about 9297.4151784246. The cubic root of 86441929 is about 442.1552811221.

The spelling of 86441929 in words is "eighty-six million, four hundred forty-one thousand, nine hundred twenty-nine".

Divisors: 1 7 49 449 3143 3929 22001 27503 192521 1764121 12348847 86441929