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828140958 = 232172706343
BaseRepresentation
bin110001010111000…
…110110110011110
32010201021220211100
4301113012312132
53144001002313
6214101533530
726344040061
oct6127066636
92121256740
10828140958
11395511617
121b14142a6
13102756948
147bdb28d8
154ca85173
hex315c6d9e

828140958 has 24 divisors (see below), whose sum is σ = 1899853488. Its totient is φ = 259808832.

The previous prime is 828140939. The next prime is 828140959. The reversal of 828140958 is 859041828.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828140959) 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, 1352866 + ... + 1353477.

It is an arithmetic number, because the mean of its divisors is an integer number (79160562).

Almost surely, 2828140958 is an apocalyptic number.

828140958 is an abundant number, since it is smaller than the sum of its proper divisors (1071712530).

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

828140958 is a wasteful number, since it uses less digits than its factorization.

828140958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706368 (or 2706365 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 828140958 is about 28777.4383502076. The cubic root of 828140958 is about 939.0774704972.

The spelling of 828140958 in words is "eight hundred twenty-eight million, one hundred forty thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 2706343 5412686 8119029 16238058 24357087 46007831 48714174 92015662 138023493 276046986 414070479 828140958