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850528256 = 211735689
BaseRepresentation
bin110010101100100…
…000100000000000
32012021102022102112
4302230200200000
53220213401011
6220221434452
730035241134
oct6254404000
92167368375
10850528256
113a7112516
121b8a0ba28
13107294876
1480d5d3c4
154ea0858b
hex32b20800

850528256 has 48 divisors (see below), whose sum is σ = 1724240700. Its totient is φ = 419364864.

The previous prime is 850528253. The next prime is 850528267. The reversal of 850528256 is 652825058.

It can be written as a sum of positive squares in 2 ways, for example, as 766182400 + 84345856 = 27680^2 + 9184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850528253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146660 + ... + 152348.

Almost surely, 2850528256 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 850528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862120350).

850528256 is an abundant number, since it is smaller than the sum of its proper divisors (873712444).

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

850528256 is an equidigital number, since it uses as much as digits as its factorization.

850528256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 41.

The square root of 850528256 is about 29163.8175827514. The cubic root of 850528256 is about 947.4644318930.

The spelling of 850528256 in words is "eight hundred fifty million, five hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1024 1168 2048 2336 4672 5689 9344 11378 18688 22756 37376 45512 74752 91024 149504 182048 364096 415297 728192 830594 1456384 1661188 2912768 3322376 5825536 6644752 11651072 13289504 26579008 53158016 106316032 212632064 425264128 850528256