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2729047349 = 717192941621
BaseRepresentation
bin1010001010101001…
…1111010100110101
321001012011222011202
42202222133110311
521042114003344
61130444542245
7124425343160
oct24252372465
97035158152
102729047349
111180526736
12641b51985
13346516c22
141bc634ad7
1510e8c194e
hexa2a9f535

2729047349 has 32 divisors (see below), whose sum is σ = 3596140800. Its totient is φ = 2013742080.

The previous prime is 2729047333. The next prime is 2729047351. The reversal of 2729047349 is 9437409272.

It is not a de Polignac number, because 2729047349 - 24 = 2729047333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729047309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44759 + ... + 86379.

It is an arithmetic number, because the mean of its divisors is an integer number (112379400).

Almost surely, 22729047349 is an apocalyptic number.

2729047349 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2729047349 is a deficient number, since it is larger than the sum of its proper divisors (867093451).

2729047349 is a wasteful number, since it uses less digits than its factorization.

2729047349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41693.

The product of its (nonzero) digits is 762048, while the sum is 47.

The square root of 2729047349 is about 52240.2847331444. The cubic root of 2729047349 is about 1397.4523990473.

The spelling of 2729047349 in words is "two billion, seven hundred twenty-nine million, forty-seven thousand, three hundred forty-nine".

Divisors: 1 7 17 19 29 119 133 203 323 493 551 2261 3451 3857 9367 41621 65569 291347 707557 790799 1207009 4952899 5535593 8449063 13443583 20519153 22933171 94105081 143634071 160532197 389863907 2729047349