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82140282 = 23276110687
BaseRepresentation
bin1001110010101…
…01110001111010
312201120011021200
410321111301322
5132011442112
612052315030
72015116020
oct471256172
9181504250
1082140282
1142403234
1223612a76
131402c623
14aca2710
157327cdc
hex4e55c7a

82140282 has 48 divisors (see below), whose sum is σ = 206748672. Its totient is φ = 23081760.

The previous prime is 82140281. The next prime is 82140283. The reversal of 82140282 is 28204128.

It is an interprime number because it is at equal distance from previous prime (82140281) and next prime (82140283).

It is not an unprimeable number, because it can be changed into a prime (82140281) 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, 2343 + ... + 13029.

It is an arithmetic number, because the mean of its divisors is an integer number (4307264).

Almost surely, 282140282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82140282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103374336).

82140282 is an abundant number, since it is smaller than the sum of its proper divisors (124608390).

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

82140282 is a wasteful number, since it uses less digits than its factorization.

82140282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 82140282 is about 9063.1276058544. The cubic root of 82140282 is about 434.6957523737.

The spelling of 82140282 in words is "eighty-two million, one hundred forty thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 3843 7686 10687 21374 32061 64122 74809 96183 149618 192366 224427 448854 651907 673281 1303814 1346562 1955721 3911442 4563349 5867163 9126698 11734326 13690047 27380094 41070141 82140282