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827610066 = 23245978337
BaseRepresentation
bin110001010101000…
…101001111010010
32010200021221120200
4301111011033102
53143332010231
6214042320030
726336366223
oct6125051722
92120257520
10827610066
11395189768
121b11b9016
131025cc0ca
147bcb524a
154c9ccbe6
hex315453d2

827610066 has 12 divisors (see below), whose sum is σ = 1793155182. Its totient is φ = 275870016.

The previous prime is 827610041. The next prime is 827610073. The reversal of 827610066 is 660016728.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 515063025 + 312547041 = 22695^2 + 17679^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 827610066.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22989151 + ... + 22989186.

Almost surely, 2827610066 is an apocalyptic number.

827610066 is an abundant number, since it is smaller than the sum of its proper divisors (965545116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

827610066 is a wasteful number, since it uses less digits than its factorization.

827610066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45978345 (or 45978342 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 827610066 is about 28768.2127703478. The cubic root of 827610066 is about 938.8767577709.

The spelling of 827610066 in words is "eight hundred twenty-seven million, six hundred ten thousand, sixty-six".

Divisors: 1 2 3 6 9 18 45978337 91956674 137935011 275870022 413805033 827610066