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82764822 = 23721971429
BaseRepresentation
bin1001110111011…
…10010000010110
312202201212222210
410323232100112
5132141433242
612113534250
72023326600
oct473562026
9182655883
1082764822
114279a488
1223874386
13141ba98a
14adc6170
1573ecd9c
hex4eee416

82764822 has 48 divisors (see below), whose sum is σ = 193667760. Its totient is φ = 23510592.

The previous prime is 82764797. The next prime is 82764827. The reversal of 82764822 is 22846728.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57204 + ... + 58632.

It is an arithmetic number, because the mean of its divisors is an integer number (4034745).

Almost surely, 282764822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82764822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96833880).

82764822 is an abundant number, since it is smaller than the sum of its proper divisors (110902938).

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

82764822 is a wasteful number, since it uses less digits than its factorization.

82764822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1638 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 82764822 is about 9097.5173536520. The cubic root of 82764822 is about 435.7946842130.

The spelling of 82764822 in words is "eighty-two million, seven hundred sixty-four thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 197 294 394 591 1182 1379 1429 2758 2858 4137 4287 8274 8574 9653 10003 19306 20006 28959 30009 57918 60018 70021 140042 210063 281513 420126 563026 844539 1689078 1970591 3941182 5911773 11823546 13794137 27588274 41382411 82764822