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850445568 = 28377231
BaseRepresentation
bin110010101100001…
…100010100000000
32012021021010000000
4302230030110000
53220203224233
6220220000000
730034445100
oct6254142400
92167233000
10850445568
113a7066385
121b8990000
1310726603b
1480d3b200
154e9ddd13
hex32b0c500

850445568 has 432 divisors, whose sum is σ = 3057169920. Its totient is φ = 235146240.

The previous prime is 850445551. The next prime is 850445569. The reversal of 850445568 is 865544058.

850445568 is a `hidden beast` number, since 8 + 50 + 44 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850445569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27433713 + ... + 27433743.

Almost surely, 2850445568 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 850445568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528584960).

850445568 is an abundant number, since it is smaller than the sum of its proper divisors (2206724352).

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

850445568 is an frugal number, since it uses more digits than its factorization.

850445568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 850445568 is about 29162.3999012427. The cubic root of 850445568 is about 947.4337268665.

The spelling of 850445568 in words is "eight hundred fifty million, four hundred forty-five thousand, five hundred sixty-eight".