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82764820 = 2254138241
BaseRepresentation
bin1001110111011…
…10010000010100
312202201212222201
410323232100110
5132141433240
612113534244
72023326565
oct473562024
9182655881
1082764820
114279a486
1223874384
13141ba988
14adc616c
1573ecd9a
hex4eee414

82764820 has 12 divisors (see below), whose sum is σ = 173806164. Its totient is φ = 33105920.

The previous prime is 82764797. The next prime is 82764827. The reversal of 82764820 is 2846728.

It can be written as a sum of positive squares in 2 ways, for example, as 43401744 + 39363076 = 6588^2 + 6274^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82764820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82764827) 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 3 ways as a sum of consecutive naturals, for example, 2069101 + ... + 2069140.

It is an arithmetic number, because the mean of its divisors is an integer number (14483847).

Almost surely, 282764820 is an apocalyptic number.

It is an amenable number.

82764820 is an abundant number, since it is smaller than the sum of its proper divisors (91041344).

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

82764820 is a wasteful number, since it uses less digits than its factorization.

82764820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138250 (or 4138248 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 82764820 is about 9097.5172437319. The cubic root of 82764820 is about 435.7946807027.

The spelling of 82764820 in words is "eighty-two million, seven hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 4138241 8276482 16552964 20691205 41382410 82764820