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8230482304 = 27116439091
BaseRepresentation
bin1111010101001001…
…10011000110000000
3210020121002211011221
413222210303012000
5113324000413204
63440411444424
7410646642142
oct75244630600
923217084157
108230482304
1135439901a0
121718456714
13a12210a95
14581142c92
15332876654
hex1ea933180

8230482304 has 64 divisors (see below), whose sum is σ = 17917058880. Its totient is φ = 3734899200.

The previous prime is 8230482259. The next prime is 8230482331. The reversal of 8230482304 is 4032840328.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 8230482304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 900799 + ... + 909889.

It is an arithmetic number, because the mean of its divisors is an integer number (279954045).

Almost surely, 28230482304 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 8230482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8958529440).

8230482304 is an abundant number, since it is smaller than the sum of its proper divisors (9686576576).

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

8230482304 is a wasteful number, since it uses less digits than its factorization.

8230482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9759 (or 9747 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 8230482304 is about 90722.0056215690. The cubic root of 8230482304 is about 2019.0253037061.

The spelling of 8230482304 in words is "eight billion, two hundred thirty million, four hundred eighty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 643 704 1286 1408 2572 5144 7073 9091 10288 14146 18182 20576 28292 36364 41152 56584 72728 82304 100001 113168 145456 200002 226336 290912 400004 452672 581824 800008 905344 1163648 1600016 3200032 5845513 6400064 11691026 12800128 23382052 46764104 64300643 93528208 128601286 187056416 257202572 374112832 514405144 748225664 1028810288 2057620576 4115241152 8230482304