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2830526208 = 283629523
BaseRepresentation
bin1010100010110110…
…0110011100000000
321022021010122000000
42220231212130000
521244103314313
61144512000000
7130100034666
oct25055463400
97267118000
102830526208
111222838264
1266bb30000
133615578a3
141cbcccc36
15118769673
hexa8b66700

2830526208 has 252 divisors, whose sum is σ = 8779981560. Its totient is φ = 909232128.

The previous prime is 2830526203. The next prime is 2830526243. The reversal of 2830526208 is 8026250382.

2830526208 is a `hidden beast` number, since 28 + 3 + 0 + 5 + 2 + 620 + 8 = 666.

It is a super-2 number, since 2×28305262082 = 16023757228349718528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830526203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5411835 + ... + 5412357.

Almost surely, 22830526208 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 2830526208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389990780).

2830526208 is an abundant number, since it is smaller than the sum of its proper divisors (5949455352).

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

2830526208 is an frugal number, since it uses more digits than its factorization.

2830526208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2830526208 is about 53202.6898568108. The cubic root of 2830526208 is about 1414.5633230728.

The spelling of 2830526208 in words is "two billion, eight hundred thirty million, five hundred twenty-six thousand, two hundred eight".