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82367296 = 2611791481
BaseRepresentation
bin1001110100011…
…01001101000000
312201222200200121
410322031031000
5132041223141
612101230024
72020052614
oct472151500
9181880617
1082367296
1142548850
1223702314
13140aba5b
14ad21344
1573701d1
hex4e8d340

82367296 has 56 divisors (see below), whose sum is σ = 180685440. Its totient is φ = 36940800.

The previous prime is 82367273. The next prime is 82367297. The reversal of 82367296 is 69276328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82367297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54876 + ... + 56356.

Almost surely, 282367296 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 82367296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90342720).

82367296 is an abundant number, since it is smaller than the sum of its proper divisors (98318144).

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

82367296 is a wasteful number, since it uses less digits than its factorization.

82367296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1573 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 82367296 is about 9075.6430075229. The cubic root of 82367296 is about 435.0958453533.

The spelling of 82367296 in words is "eighty-two million, three hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 316 352 632 704 869 1264 1481 1738 2528 2962 3476 5056 5924 6952 11848 13904 16291 23696 27808 32582 47392 55616 65164 94784 116999 130328 233998 260656 467996 521312 935992 1042624 1286989 1871984 2573978 3743968 5147956 7487936 10295912 20591824 41183648 82367296