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823525328 = 24123741609
BaseRepresentation
bin110001000101011…
…111111111010000
32010101121102101002
4301011133333100
53141310302303
6213415001132
726256564323
oct6105377720
92111542332
10823525328
1139294984a
121ab9691a8
131017cbac2
147b5307ba
154c472788
hex3115ffd0

823525328 has 20 divisors (see below), whose sum is σ = 1596908580. Its totient is φ = 411419904.

The previous prime is 823525301. The next prime is 823525333.

It is a happy number.

823525328 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 722964544 + 100560784 = 26888^2 + 10028^2 .

It is a junction number, because it is equal to n+sod(n) for n = 823525291 and 823525300.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1013 + ... + 40596.

It is an arithmetic number, because the mean of its divisors is an integer number (79845429).

Almost surely, 2823525328 is an apocalyptic number.

It is an amenable number.

823525328 is a deficient number, since it is larger than the sum of its proper divisors (773383252).

823525328 is a wasteful number, since it uses less digits than its factorization.

823525328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42854 (or 42848 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 823525328 is about 28697.1310064264. The cubic root of 823525328 is about 937.3295748994.

The spelling of 823525328 in words is "eight hundred twenty-three million, five hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 1237 2474 4948 9896 19792 41609 83218 166436 332872 665744 51470333 102940666 205881332 411762664 823525328