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827981028 = 22347252153
BaseRepresentation
bin110001010110011…
…111110011100100
32010200222210110000
4301112133303210
53143430343103
6214054301300
726342502600
oct6126376344
92120883400
10827981028
11395412446
121b1357830
131026cbc04
147bd70500
154ca52aa3
hex3159fce4

827981028 has 90 divisors (see below), whose sum is σ = 2517942966. Its totient is φ = 236561472.

The previous prime is 827981003. The next prime is 827981081. The reversal of 827981028 is 820189728.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 825297984 + 2683044 = 28728^2 + 1638^2 .

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 29 ways as a sum of consecutive naturals, for example, 10201 + ... + 41952.

Almost surely, 2827981028 is an apocalyptic number.

It is an amenable number.

827981028 is an abundant number, since it is smaller than the sum of its proper divisors (1689961938).

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

827981028 is a wasteful number, since it uses less digits than its factorization.

827981028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52183 (or 52165 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 827981028 is about 28774.6594766993. The cubic root of 827981028 is about 939.0170152782.

The spelling of 827981028 in words is "eight hundred twenty-seven million, nine hundred eighty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 52153 104306 156459 208612 312918 365071 469377 625836 730142 938754 1095213 1408131 1460284 1877508 2190426 2555497 2816262 3285639 4224393 4380852 5110994 5632524 6571278 7666491 8448786 9856917 10221988 13142556 15332982 16897572 19713834 22999473 29570751 30665964 39427668 45998946 59141502 68998419 91997892 118283004 137996838 206995257 275993676 413990514 827981028