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2989574329 = 727321072
BaseRepresentation
bin1011001000110001…
…0100100010111001
321201100102010000011
42302030110202321
522110312334304
61212352541521
7134040651100
oct26214244271
97640363004
102989574329
1112a459a495
126b52518a1
133884a3cc1
14205091037
151276d4c04
hexb23148b9

2989574329 has 27 divisors (see below), whose sum is σ = 3559220847. Its totient is φ = 2503769184.

The previous prime is 2989574317. The next prime is 2989574333. The reversal of 2989574329 is 9234759892.

The square root of 2989574329 is 54677.

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

It can be written as a sum of positive squares in only one way, i.e., 1697028025 + 1292546304 = 41195^2 + 35952^2 .

It is not a de Polignac number, because 2989574329 - 213 = 2989566137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2989574129) 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, 27939894 + ... + 27940000.

Almost surely, 22989574329 is an apocalyptic number.

2989574329 is the 54677-th square number.

2989574329 is the 27339-th centered octagonal number.

It is an amenable number.

2989574329 is a deficient number, since it is larger than the sum of its proper divisors (569646518).

2989574329 is an frugal number, since it uses more digits than its factorization.

2989574329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 58.

The cubic root of 2989574329 is about 1440.5769179147.

The spelling of 2989574329 in words is "two billion, nine hundred eighty-nine million, five hundred seventy-four thousand, three hundred twenty-nine".

Divisors: 1 7 49 73 107 511 749 3577 5243 5329 7811 11449 37303 54677 80143 261121 382739 561001 570203 835777 3991421 5850439 27939947 40953073 61011721 427082047 2989574329