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82364740 = 22519492113
BaseRepresentation
bin1001110100011…
…00100101000100
312201222120011221
410322030211010
5132041132430
612101210124
72020042303
oct472144504
9181876157
1082364740
1142546937
1223700944
13140aa843
14ad2043a
15736e57a
hex4e8c944

82364740 has 24 divisors (see below), whose sum is σ = 173136600. Its totient is φ = 32913408.

The previous prime is 82364731. The next prime is 82364747. The reversal of 82364740 is 4746328.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 81396484 = 984^2 + 9022^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82364696 and 82364705.

It is not an unprimeable number, because it can be changed into a prime (82364747) 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 7 ways as a sum of consecutive naturals, for example, 37924 + ... + 40036.

It is an arithmetic number, because the mean of its divisors is an integer number (7214025).

Almost surely, 282364740 is an apocalyptic number.

It is an amenable number.

82364740 is an abundant number, since it is smaller than the sum of its proper divisors (90771860).

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

82364740 is a wasteful number, since it uses less digits than its factorization.

82364740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 82364740 is about 9075.5021899617. The cubic root of 82364740 is about 435.0913447140.

The spelling of 82364740 in words is "eighty-two million, three hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 1949 2113 3898 4226 7796 8452 9745 10565 19490 21130 38980 42260 4118237 8236474 16472948 20591185 41182370 82364740