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82368936 = 23321388001
BaseRepresentation
bin1001110100011…
…01100110101000
312201222202221100
410322031212220
5132041301221
612101241400
72020060446
oct472154650
9181882840
1082368936
114254a001
1223703260
13140ac720
14ad21b96
157370926
hex4e8d9a8

82368936 has 48 divisors (see below), whose sum is σ = 240245460. Its totient is φ = 25344000.

The previous prime is 82368931. The next prime is 82368991. The reversal of 82368936 is 63986328.

It can be written as a sum of positive squares in 2 ways, for example, as 60746436 + 21622500 = 7794^2 + 4650^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82368891 and 82368900.

It is not an unprimeable number, because it can be changed into a prime (82368931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43065 + ... + 44936.

Almost surely, 282368936 is an apocalyptic number.

It is an amenable number.

82368936 is an abundant number, since it is smaller than the sum of its proper divisors (157876524).

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

82368936 is a wasteful number, since it uses less digits than its factorization.

82368936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88026 (or 88019 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 82368936 is about 9075.7333587981. The cubic root of 82368936 is about 435.0987330385.

The spelling of 82368936 in words is "eighty-two million, three hundred sixty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 88001 176002 264003 352004 528006 704008 792009 1056012 1144013 1584018 2112024 2288026 3168036 3432039 4576052 6336072 6864078 9152104 10296117 13728156 20592234 27456312 41184468 82368936