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8930435328 = 28341921193
BaseRepresentation
bin10000101000100101…
…11010000100000000
3212001101012010020000
420110102322010000
5121242142412303
64034054120000
7434206306413
oct102422720400
925041163200
108930435328
113872aa8271
121892950000
13ac4234979
1460a0a7b7a
15374039da3
hex2144ba100

8930435328 has 270 divisors, whose sum is σ = 28127787534. Its totient is φ = 2817773568.

The previous prime is 8930435303. The next prime is 8930435333. The reversal of 8930435328 is 8235340398.

8930435328 is a `hidden beast` number, since 89 + 30 + 4 + 3 + 532 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7665352704 + 1265082624 = 87552^2 + 35568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7485100 + ... + 7486292.

Almost surely, 28930435328 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 8930435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063893767).

8930435328 is an abundant number, since it is smaller than the sum of its proper divisors (19197352206).

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

8930435328 is a wasteful number, since it uses less digits than its factorization.

8930435328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 8930435328 is about 94500.9805663412. The cubic root of 8930435328 is about 2074.7106832702.

The spelling of 8930435328 in words is "eight billion, nine hundred thirty million, four hundred thirty-five thousand, three hundred twenty-eight".