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83444868 = 223213178301
BaseRepresentation
bin1001111100101…
…00010010000100
312211000102211200
410332110102010
5132330213433
612140302500
72032161333
oct476242204
9184012750
1083444868
1143114401
1223b41a30
1314398380
14b121d1a
1574d4613
hex4f94484

83444868 has 36 divisors (see below), whose sum is σ = 227156748. Its totient is φ = 25675200.

The previous prime is 83444849. The next prime is 83444869. The reversal of 83444868 is 86844438.

It can be written as a sum of positive squares in 2 ways, for example, as 38044224 + 45400644 = 6168^2 + 6738^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (83444869) 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, 88683 + ... + 89618.

Almost surely, 283444868 is an apocalyptic number.

It is an amenable number.

83444868 is an abundant number, since it is smaller than the sum of its proper divisors (143711880).

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

83444868 is a wasteful number, since it uses less digits than its factorization.

83444868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178324 (or 178319 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 83444868 is about 9134.8162543097. The cubic root of 83444868 is about 436.9850145060.

The spelling of 83444868 in words is "eighty-three million, four hundred forty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 178301 356602 534903 713204 1069806 1604709 2139612 2317913 3209418 4635826 6418836 6953739 9271652 13907478 20861217 27814956 41722434 83444868