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82042047 = 3238323801
BaseRepresentation
bin1001110001111…
…01110010111111
312201101011112100
410320331302333
5132000321142
612050240143
72014226433
oct470756277
9181334470
1082042047
114234644a
1223586053
1313cc69b9
14ac789c3
157308b4c
hex4e3dcbf

82042047 has 12 divisors (see below), whose sum is σ = 118819584. Its totient is φ = 54549600.

The previous prime is 82042043. The next prime is 82042063. The reversal of 82042047 is 74024028.

It is not a de Polignac number, because 82042047 - 22 = 82042043 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82042047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82042043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8454 + ... + 15347.

It is an arithmetic number, because the mean of its divisors is an integer number (9901632).

Almost surely, 282042047 is an apocalyptic number.

82042047 is a deficient number, since it is larger than the sum of its proper divisors (36777537).

82042047 is a wasteful number, since it uses less digits than its factorization.

82042047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24190 (or 24187 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 82042047 is about 9057.7064977841. The cubic root of 82042047 is about 434.5223929667.

The spelling of 82042047 in words is "eighty-two million, forty-two thousand, forty-seven".

Divisors: 1 3 9 383 1149 3447 23801 71403 214209 9115783 27347349 82042047