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825490314 = 232112379013
BaseRepresentation
bin110001001100111…
…111101110001010
32010112022020211100
4301030333232022
53142311142224
6213525042230
726312360205
oct6114775612
92115266740
10825490314
11393a71100
121b0556376
1310203930c
147b8c293c
154c70eac9
hex3133fb8a

825490314 has 36 divisors (see below), whose sum is σ = 1965945618. Its totient is φ = 250147920.

The previous prime is 825490297. The next prime is 825490327. The reversal of 825490314 is 413094528.

825490314 is a `hidden beast` number, since 8 + 254 + 90 + 314 = 666.

It can be written as a sum of positive squares in only one way, i.e., 814817025 + 10673289 = 28545^2 + 3267^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 187329 + ... + 191684.

Almost surely, 2825490314 is an apocalyptic number.

825490314 is an abundant number, since it is smaller than the sum of its proper divisors (1140455304).

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

825490314 is a wasteful number, since it uses less digits than its factorization.

825490314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379043 (or 379029 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 825490314 is about 28731.3472360765. The cubic root of 825490314 is about 938.0744928965.

The spelling of 825490314 in words is "eight hundred twenty-five million, four hundred ninety thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 379013 758026 1137039 2274078 3411117 4169143 6822234 8338286 12507429 25014858 37522287 45860573 75044574 91721146 137581719 275163438 412745157 825490314