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82723122 = 23217270337
BaseRepresentation
bin1001110111001…
…00000100110010
312202122202210100
410323210010302
5132134114442
612113013230
72023064166
oct473440462
9182582710
1082723122
1142771119
1223854216
13141a49c1
14adb4ca6
1573e084c
hex4ee4132

82723122 has 24 divisors (see below), whose sum is σ = 189777276. Its totient is φ = 25952256.

The previous prime is 82723103. The next prime is 82723127. The reversal of 82723122 is 22132728.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72743841 + 9979281 = 8529^2 + 3159^2 .

It is a super-2 number, since 2×827231222 = 13686229826853768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82723127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134863 + ... + 135474.

Almost surely, 282723122 is an apocalyptic number.

82723122 is an abundant number, since it is smaller than the sum of its proper divisors (107054154).

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

82723122 is a wasteful number, since it uses less digits than its factorization.

82723122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270362 (or 270359 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 82723122 is about 9095.2252308560. The cubic root of 82723122 is about 435.7214820531.

The spelling of 82723122 in words is "eighty-two million, seven hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 270337 540674 811011 1622022 2433033 4595729 4866066 9191458 13787187 27574374 41361561 82723122