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830808576 = 2934132367
BaseRepresentation
bin110001100001010…
…010001000000000
32010220022110010000
4301201102020000
53200141333301
6214235040000
726405520303
oct6141221000
92126273100
10830808576
11396a73864
121b22a0000
1310317bc10
147c4a8b3a
154ce10786
hex31852200

830808576 has 400 divisors, whose sum is σ = 2828193984. Its totient is φ = 240869376.

The previous prime is 830808569. The next prime is 830808647. The reversal of 830808576 is 675808038.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12400095 + ... + 12400161.

Almost surely, 2830808576 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 830808576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414096992).

830808576 is an abundant number, since it is smaller than the sum of its proper divisors (1997385408).

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

830808576 is a wasteful number, since it uses less digits than its factorization.

830808576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 830808576 is about 28823.7502070775. The cubic root of 830808576 is about 940.0847124500.

The spelling of 830808576 in words is "eight hundred thirty million, eight hundred eight thousand, five hundred seventy-six".