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828530656 = 252310612
BaseRepresentation
bin110001011000100…
…101111111100000
32010202000201101121
4301120211333200
53144100440111
6214114142024
726350252162
oct6130457740
92122021347
10828530656
11395758388
121b1581914
13102862135
147c074932
154cb10871
hex31625fe0

828530656 has 36 divisors (see below), whose sum is σ = 1703695896. Its totient is φ = 395880320.

The previous prime is 828530623. The next prime is 828530657. The reversal of 828530656 is 656035828.

It is a happy number.

828530656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828530657) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 780366 + ... + 781426.

It is an arithmetic number, because the mean of its divisors is an integer number (47324886).

Almost surely, 2828530656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828530656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851847948).

828530656 is an abundant number, since it is smaller than the sum of its proper divisors (875165240).

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

828530656 is an equidigital number, since it uses as much as digits as its factorization.

828530656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 828530656 is about 28784.2084483836. The cubic root of 828530656 is about 939.2247478501.

The spelling of 828530656 in words is "eight hundred twenty-eight million, five hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1061 2122 4244 8488 16976 24403 33952 48806 97612 195224 390448 780896 1125721 2251442 4502884 9005768 18011536 25891583 36023072 51783166 103566332 207132664 414265328 828530656