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2827793329 = 41212972
BaseRepresentation
bin1010100010001100…
…1011001110110001
321022001222210012021
42220203023032301
521242403341304
61144333231441
7130034563264
oct25043131661
97261883167
102827793329
111221240a89
1266b032581
13360b0b9ba
141cb7bacdb
151183c9a54
hexa88cb3b1

2827793329 has 9 divisors (see below), whose sum is σ = 2900682561. Its totient is φ = 2756695680.

The previous prime is 2827793321. The next prime is 2827793333. The reversal of 2827793329 is 9233977282.

The square root of 2827793329 is 53177.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 77000625 + 2750792704 = 8775^2 + 52448^2 .

It is not a de Polignac number, because 2827793329 - 23 = 2827793321 is a prime.

It is a super-2 number, since 2×28277933292 = 15992830223073804482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2827793321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2179609 + ... + 2180905.

Almost surely, 22827793329 is an apocalyptic number.

2827793329 is the 53177-th square number.

2827793329 is the 26589-th centered octagonal number.

It is an amenable number.

2827793329 is a deficient number, since it is larger than the sum of its proper divisors (72889232).

2827793329 is an frugal number, since it uses more digits than its factorization.

2827793329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 1338 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 52.

The cubic root of 2827793329 is about 1414.1079218577.

The spelling of 2827793329 in words is "two billion, eight hundred twenty-seven million, seven hundred ninety-three thousand, three hundred twenty-nine".

Divisors: 1 41 1297 1681 53177 1682209 2180257 68970569 2827793329