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2705768289 = 327224772
BaseRepresentation
bin1010000101000110…
…1011111101100001
320222120101021022100
42201101223331201
521020134041124
61124254001013
7124023436200
oct24121537541
96876337270
102705768289
111169376844
126361a6169
13341756133
141b94d5237
1510c8241c9
hexa146bf61

2705768289 has 27 divisors (see below), whose sum is σ = 4548263187. Its totient is φ = 1545529104.

The previous prime is 2705768269. The next prime is 2705768293. The reversal of 2705768289 is 9828675072.

It is a happy number.

The square root of 2705768289 is 52017.

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

2705768289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1358291025 + 1347477264 = 36855^2 + 36708^2 .

It is not a de Polignac number, because 2705768289 - 213 = 2705760097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2705768269) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1091119 + ... + 1093595.

Almost surely, 22705768289 is an apocalyptic number.

2705768289 is the 52017-th square number.

2705768289 is the 26009-th centered octagonal number.

It is an amenable number.

2705768289 is a deficient number, since it is larger than the sum of its proper divisors (1842494898).

2705768289 is an frugal number, since it uses more digits than its factorization.

2705768289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The cubic root of 2705768289 is about 1393.4675753321.

The spelling of 2705768289 in words is "two billion, seven hundred five million, seven hundred sixty-eight thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 2477 7431 17339 22293 52017 121373 156051 364119 1092357 6135529 18406587 42948703 55219761 128846109 300640921 386538327 901922763 2705768289