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828306999 = 33132359849
BaseRepresentation
bin110001010111101…
…111011000110111
32010201121100121000
4301113233120313
53144021310444
6214105254343
726345331132
oct6127573067
92121540530
10828306999
11395615343
121b14943b3
131027b43b0
147c017219
154cab9469
hex315ef637

828306999 has 16 divisors (see below), whose sum is σ = 1321516000. Its totient is φ = 509727168.

The previous prime is 828306953. The next prime is 828307013. The reversal of 828306999 is 999603828.

It is not a de Polignac number, because 828306999 - 221 = 826209847 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828306299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179574 + ... + 1180275.

It is an arithmetic number, because the mean of its divisors is an integer number (82594750).

Almost surely, 2828306999 is an apocalyptic number.

828306999 is a deficient number, since it is larger than the sum of its proper divisors (493209001).

828306999 is a wasteful number, since it uses less digits than its factorization.

828306999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359871 (or 2359865 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 828306999 is about 28780.3231218831. The cubic root of 828306999 is about 939.1402275037.

The spelling of 828306999 in words is "eight hundred twenty-eight million, three hundred six thousand, nine hundred ninety-nine".

Divisors: 1 3 9 13 27 39 117 351 2359849 7079547 21238641 30678037 63715923 92034111 276102333 828306999