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82145763 = 3271737537
BaseRepresentation
bin1001110010101…
…11000111100011
312201120102210200
410321113013203
5132012131023
612052400243
72015141010
oct471270743
9181512720
1082145763
1142407367
1223616083
1314031c7b
14aca4707
157329743
hex4e571e3

82145763 has 24 divisors (see below), whose sum is σ = 136407648. Its totient is φ = 46662912.

The previous prime is 82145761. The next prime is 82145771. The reversal of 82145763 is 36754128.

82145763 is a `hidden beast` number, since 82 + 1 + 4 + 576 + 3 = 666.

It is not a de Polignac number, because 82145763 - 21 = 82145761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82145761) 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, 7131 + ... + 14667.

It is an arithmetic number, because the mean of its divisors is an integer number (5683652).

Almost surely, 282145763 is an apocalyptic number.

82145763 is a deficient number, since it is larger than the sum of its proper divisors (54261885).

82145763 is a wasteful number, since it uses less digits than its factorization.

82145763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7723 (or 7720 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 82145763 is about 9063.4299798697. The cubic root of 82145763 is about 434.7054208513.

The spelling of 82145763 in words is "eighty-two million, one hundred forty-five thousand, seven hundred sixty-three".

Divisors: 1 3 7 9 21 63 173 519 1211 1557 3633 7537 10899 22611 52759 67833 158277 474831 1303901 3911703 9127307 11735109 27381921 82145763