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82529441 = 172285569
BaseRepresentation
bin1001110101101…
…00110010100001
312202021221002222
410322310302201
5132111420231
612104520425
72021326421
oct472646241
9182257088
1082529441
1142649655
1223780115
13141377b7
14ad64481
1573a327b
hex4eb4ca1

82529441 has 6 divisors (see below), whose sum is σ = 87669990. Its totient is φ = 77674496.

The previous prime is 82529417. The next prime is 82529453. The reversal of 82529441 is 14492528.

It can be written as a sum of positive squares in 3 ways, for example, as 30747025 + 51782416 = 5545^2 + 7196^2 .

It is a de Polignac number, because none of the positive numbers 2k-82529441 is a prime.

It is a super-2 number, since 2×825294412 = 13622217263544962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82529411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142496 + ... + 143073.

It is an arithmetic number, because the mean of its divisors is an integer number (14611665).

Almost surely, 282529441 is an apocalyptic number.

It is an amenable number.

82529441 is a deficient number, since it is larger than the sum of its proper divisors (5140549).

82529441 is a wasteful number, since it uses less digits than its factorization.

82529441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285603 (or 285586 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 82529441 is about 9084.5715914401. The cubic root of 82529441 is about 435.3811623694.

The spelling of 82529441 in words is "eighty-two million, five hundred twenty-nine thousand, four hundred forty-one".

Divisors: 1 17 289 285569 4854673 82529441