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2724480128 = 2797219433
BaseRepresentation
bin1010001001100100…
…0100010010000000
321000212120221010102
42202121010102000
521034431331003
61130203021532
7124341461516
oct24231042200
97025527112
102724480128
111178997277
1264050a8a8
133455a8126
141bbba64b6
1510e2bd588
hexa2644480

2724480128 has 32 divisors (see below), whose sum is σ = 5483655660. Its totient is φ = 1348190208.

The previous prime is 2724480037. The next prime is 2724480191. The reversal of 2724480128 is 8210844272.

It can be written as a sum of positive squares in 2 ways, for example, as 2696517184 + 27962944 = 51928^2 + 5288^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2724480091 and 2724480100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97301 + ... + 122132.

Almost surely, 22724480128 is an apocalyptic number.

It is an amenable number.

2724480128 is an abundant number, since it is smaller than the sum of its proper divisors (2759175532).

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

2724480128 is an equidigital number, since it uses as much as digits as its factorization.

2724480128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219544 (or 219532 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 38.

The square root of 2724480128 is about 52196.5528363703. The cubic root of 2724480128 is about 1396.6723908707.

The spelling of 2724480128 in words is "two billion, seven hundred twenty-four million, four hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6208 12416 219433 438866 877732 1755464 3510928 7021856 14043712 21285001 28087424 42570002 85140004 170280008 340560016 681120032 1362240064 2724480128