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86442468 = 22372147011
BaseRepresentation
bin1010010011100…
…00000111100100
320000122201202220
411021300013210
5134112124333
612324432340
72066514600
oct511600744
9200581686
1086442468
1144881562
1224b486b0
1314ba78b8
14b6a2500
1578c78b3
hex52701e4

86442468 has 36 divisors (see below), whose sum is σ = 234631152. Its totient is φ = 24697680.

The previous prime is 86442463. The next prime is 86442469. The reversal of 86442468 is 86424468.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (86442463) 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, 72918 + ... + 74093.

It is an arithmetic number, because the mean of its divisors is an integer number (6517532).

Almost surely, 286442468 is an apocalyptic number.

It is an amenable number.

86442468 is an abundant number, since it is smaller than the sum of its proper divisors (148188684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86442468 is a wasteful number, since it uses less digits than its factorization.

86442468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147032 (or 147023 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 86442468 is about 9297.4441649305. Note that the first 3 decimals coincide. The cubic root of 86442468 is about 442.1562001252.

The spelling of 86442468 in words is "eighty-six million, four hundred forty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 147011 294022 441033 588044 882066 1029077 1764132 2058154 3087231 4116308 6174462 7203539 12348924 14407078 21610617 28814156 43221234 86442468