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82181477 = 723745329
BaseRepresentation
bin1001110010111…
…11110101100101
312201122020210102
410321133311211
5132014301402
612053233445
72015350100
oct471376545
9181566712
1082181477
1142431184
1223632885
13140452c1
14acb3737
157335102
hex4e5fd65

82181477 has 12 divisors (see below), whose sum is σ = 98184780. Its totient is φ = 68535936.

The previous prime is 82181467. The next prime is 82181483. The reversal of 82181477 is 77418128.

It can be written as a sum of positive squares in 2 ways, for example, as 62236321 + 19945156 = 7889^2 + 4466^2 .

It is not a de Polignac number, because 82181477 - 26 = 82181413 is a prime.

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 82181477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82181467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20852 + ... + 24477.

It is an arithmetic number, because the mean of its divisors is an integer number (8182065).

Almost surely, 282181477 is an apocalyptic number.

It is an amenable number.

82181477 is a deficient number, since it is larger than the sum of its proper divisors (16003303).

82181477 is a wasteful number, since it uses less digits than its factorization.

82181477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45380 (or 45373 counting only the distinct ones).

The product of its digits is 25088, while the sum is 38.

The square root of 82181477 is about 9065.3999911752. The cubic root of 82181477 is about 434.7684097767.

The spelling of 82181477 in words is "eighty-two million, one hundred eighty-one thousand, four hundred seventy-seven".

Divisors: 1 7 37 49 259 1813 45329 317303 1677173 2221121 11740211 82181477