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82529541 = 3260715107
BaseRepresentation
bin1001110101101…
…00110100000101
312202021221020200
410322310310011
5132111421131
612104521113
72021326623
oct472646405
9182257220
1082529541
1142649736
1223780199
1314137863
14ad64513
1573a32e6
hex4eb4d05

82529541 has 12 divisors (see below), whose sum is σ = 119413632. Its totient is φ = 54925416.

The previous prime is 82529537. The next prime is 82529549. The reversal of 82529541 is 14592528.

82529541 is a `hidden beast` number, since 82 + 529 + 54 + 1 = 666.

It is not a de Polignac number, because 82529541 - 22 = 82529537 is a prime.

It is a super-2 number, since 2×825295412 = 13622250275341362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82529496 and 82529505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82529549) 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 11 ways as a sum of consecutive naturals, for example, 2091 + ... + 13016.

It is an arithmetic number, because the mean of its divisors is an integer number (9951136).

Almost surely, 282529541 is an apocalyptic number.

It is an amenable number.

82529541 is a deficient number, since it is larger than the sum of its proper divisors (36884091).

82529541 is a wasteful number, since it uses less digits than its factorization.

82529541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15720 (or 15717 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 82529541 is about 9084.5770952753. The cubic root of 82529541 is about 435.3813382181.

The spelling of 82529541 in words is "eighty-two million, five hundred twenty-nine thousand, five hundred forty-one".

Divisors: 1 3 9 607 1821 5463 15107 45321 135963 9169949 27509847 82529541