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2984227968 = 27341189547
BaseRepresentation
bin1011000111011111…
…1011010010000000
321200222100111011210
42301313323102000
522102430243333
61212042210120
7133644343041
oct26167732200
97628314153
102984227968
1112a1578707
126b34b3940
13387351687
1420449c8c8
15126ecaa63
hexb1dfb480

2984227968 has 64 divisors (see below), whose sum is σ = 8120236320. Its totient is φ = 970475520.

The previous prime is 2984227963. The next prime is 2984227979. The reversal of 2984227968 is 8697224892.

2984227968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2984227963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79030 + ... + 110517.

Almost surely, 22984227968 is an apocalyptic number.

It is an amenable number.

2984227968 is an abundant number, since it is smaller than the sum of its proper divisors (5136008352).

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

2984227968 is a wasteful number, since it uses less digits than its factorization.

2984227968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189605 (or 189593 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 2984227968 is about 54628.0877205124. The cubic root of 2984227968 is about 1439.7176606950.

The spelling of 2984227968 in words is "two billion, nine hundred eighty-four million, two hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 189547 379094 568641 758188 1137282 1516376 2274564 3032752 4549128 6065504 7771427 9098256 12131008 15542854 18196512 23314281 24262016 31085708 36393024 46628562 62171416 72786048 93257124 124342832 186514248 248685664 373028496 497371328 746056992 994742656 1492113984 2984227968