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82397232 = 24321797347
BaseRepresentation
bin1001110100101…
…00100000110000
312202001012202100
410322110200300
5132043202412
612102020400
72020236111
oct472244060
9182035670
1082397232
1142569295
1223717700
13140bc578
14ad2c208
157378edc
hex4e94830

82397232 has 120 divisors (see below), whose sum is σ = 247390416. Its totient is φ = 25509888.

The previous prime is 82397221. The next prime is 82397233. The reversal of 82397232 is 23279328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82397233) 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, 237283 + ... + 237629.

Almost surely, 282397232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82397232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123695208).

82397232 is an abundant number, since it is smaller than the sum of its proper divisors (164993184).

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

82397232 is a wasteful number, since it uses less digits than its factorization.

82397232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 466 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 82397232 is about 9077.2921072311. The cubic root of 82397232 is about 435.1485501371.

The spelling of 82397232 in words is "eighty-two million, three hundred ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 97 102 136 144 153 194 204 272 291 306 347 388 408 582 612 694 776 816 873 1041 1164 1224 1388 1552 1649 1746 2082 2328 2448 2776 3123 3298 3492 4164 4656 4947 5552 5899 6246 6596 6984 8328 9894 11798 12492 13192 13968 14841 16656 17697 19788 23596 24984 26384 29682 33659 35394 39576 47192 49968 53091 59364 67318 70788 79152 94384 100977 106182 118728 134636 141576 201954 212364 237456 269272 283152 302931 403908 424728 538544 572203 605862 807816 849456 1144406 1211724 1615632 1716609 2288812 2423448 3433218 4577624 4846896 5149827 6866436 9155248 10299654 13732872 20599308 27465744 41198616 82397232