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825389984 = 25171517261
BaseRepresentation
bin110001001100100…
…111001110100000
32010112010011012102
4301030213032200
53142244434414
6213522545532
726311461536
oct6114471640
92115104172
10825389984
11393a02791
121b05082a8
13102002753
147b898156
154c6deede
hex313273a0

825389984 has 24 divisors (see below), whose sum is σ = 1720575108. Its totient is φ = 388418560.

The previous prime is 825389953. The next prime is 825389987. The reversal of 825389984 is 489983528.

It can be written as a sum of positive squares in 2 ways, for example, as 773952400 + 51437584 = 27820^2 + 7172^2 .

It is not an unprimeable number, because it can be changed into a prime (825389987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 758087 + ... + 759174.

Almost surely, 2825389984 is an apocalyptic number.

It is an amenable number.

825389984 is an abundant number, since it is smaller than the sum of its proper divisors (895185124).

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

825389984 is a wasteful number, since it uses less digits than its factorization.

825389984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517288 (or 1517280 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 56.

The square root of 825389984 is about 28729.6011806638. The cubic root of 825389984 is about 938.0364868673.

The spelling of 825389984 in words is "eight hundred twenty-five million, three hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1517261 3034522 6069044 12138088 24276176 25793437 48552352 51586874 103173748 206347496 412694992 825389984