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828280999 = 71325911867
BaseRepresentation
bin110001010111101…
…001000010100111
32010201120000221001
4301113221002213
53144014442444
6214104534131
726345162260
oct6127510247
92121500831
10828280999
113955a7857
121b1481347
131027a5600
147c00b967
154cab18d4
hex315e90a7

828280999 has 24 divisors (see below), whose sum is σ = 1042485120. Its totient is φ = 644181408.

The previous prime is 828280993. The next prime is 828281053. The reversal of 828280999 is 999082828.

828280999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 828280999 - 29 = 828280487 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 (828280993) 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, 63864 + ... + 75730.

It is an arithmetic number, because the mean of its divisors is an integer number (43436880).

Almost surely, 2828280999 is an apocalyptic number.

828280999 is a deficient number, since it is larger than the sum of its proper divisors (214204121).

828280999 is a wasteful number, since it uses less digits than its factorization.

828280999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11959 (or 11946 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 55.

The square root of 828280999 is about 28779.8714208386. The cubic root of 828280999 is about 939.1304010741.

The spelling of 828280999 in words is "eight hundred twenty-eight million, two hundred eighty thousand, nine hundred ninety-nine".

Divisors: 1 7 13 59 91 169 413 767 1183 5369 9971 11867 69797 83069 154271 700153 1079897 2005523 4901071 9101989 14038661 63713923 118325857 828280999