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82541569 = 1129416311
BaseRepresentation
bin1001110101101…
…11110000000001
312202022112202011
410322313300001
5132112312234
612105052521
72021406655
oct472676001
9182275664
1082541569
1142657780
1223787141
1314140186
14ad68a65
1573a6b64
hex4eb7c01

82541569 has 16 divisors (see below), whose sum is σ = 95437440. Its totient is φ = 70672000.

The previous prime is 82541551. The next prime is 82541573. The reversal of 82541569 is 96514528.

It is a cyclic number.

It is not a de Polignac number, because 82541569 - 27 = 82541441 is a prime.

It is a super-2 number, since 2×825415692 = 13626221225963522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82541269) 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 15 ways as a sum of consecutive naturals, for example, 9924 + ... + 16234.

It is an arithmetic number, because the mean of its divisors is an integer number (5964840).

Almost surely, 282541569 is an apocalyptic number.

It is an amenable number.

82541569 is a deficient number, since it is larger than the sum of its proper divisors (12895871).

82541569 is a wasteful number, since it uses less digits than its factorization.

82541569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392.

The product of its digits is 86400, while the sum is 40.

The square root of 82541569 is about 9085.2390722534. The cubic root of 82541569 is about 435.4024882705.

The spelling of 82541569 in words is "eighty-two million, five hundred forty-one thousand, five hundred sixty-nine".

Divisors: 1 11 29 41 319 451 1189 6311 13079 69421 183019 258751 2013209 2846261 7503779 82541569