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82528897 = 1121753757
BaseRepresentation
bin1001110101101…
…00101010000001
312202021220100211
410322310222001
5132111411042
612104514121
72021325013
oct472645201
9182256324
1082528897
1142649200
122377b941
1314137489
14ad641b3
1573a3017
hex4eb4a81

82528897 has 24 divisors (see below), whose sum is σ = 97991208. Its totient is φ = 69189120.

The previous prime is 82528891. The next prime is 82528949. The reversal of 82528897 is 79882528.

It can be written as a sum of positive squares in 4 ways, for example, as 35414401 + 47114496 = 5951^2 + 6864^2 .

It is not a de Polignac number, because 82528897 - 211 = 82526849 is a prime.

It is a super-2 number, since 2×825288972 = 13622037680073218, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82528897.

It is not an unprimeable number, because it can be changed into a prime (82528891) 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, 108643 + ... + 109399.

It is an arithmetic number, because the mean of its divisors is an integer number (4082967).

Almost surely, 282528897 is an apocalyptic number.

It is an amenable number.

82528897 is a deficient number, since it is larger than the sum of its proper divisors (15462311).

82528897 is a wasteful number, since it uses less digits than its factorization.

82528897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its digits is 645120, while the sum is 49.

The square root of 82528897 is about 9084.5416505182. The cubic root of 82528897 is about 435.3802057496.

The spelling of 82528897 in words is "eighty-two million, five hundred twenty-eight thousand, eight hundred ninety-seven".

Divisors: 1 11 17 53 121 187 583 757 901 2057 6413 8327 9911 12869 40121 91597 109021 141559 441331 682057 1557149 4854641 7502627 82528897