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2429847329 = 73134113291
BaseRepresentation
bin1001000011010100…
…1000011100100001
320021100012000220112
42100311020130201
514434020103304
61041040021105
7114133235000
oct22065103441
96240160815
102429847329
111037649298
12579901795
132c95392b0
141909ccc37
15e34beb6e
hex90d48721

2429847329 has 32 divisors (see below), whose sum is σ = 3126278400. Its totient is φ = 1875484800.

The previous prime is 2429847289. The next prime is 2429847337. The reversal of 2429847329 is 9237489242.

It is a de Polignac number, because none of the positive numbers 2k-2429847329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2429847359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176174 + ... + 189464.

It is an arithmetic number, because the mean of its divisors is an integer number (97696200).

Almost surely, 22429847329 is an apocalyptic number.

It is an amenable number.

2429847329 is a deficient number, since it is larger than the sum of its proper divisors (696431071).

2429847329 is a wasteful number, since it uses less digits than its factorization.

2429847329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13366 (or 13352 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The square root of 2429847329 is about 49293.4816076122. The cubic root of 2429847329 is about 1344.3932677995.

The spelling of 2429847329 in words is "two billion, four hundred twenty-nine million, eight hundred forty-seven thousand, three hundred twenty-nine".

Divisors: 1 7 13 41 49 91 287 343 533 637 2009 3731 4459 13291 14063 26117 93037 172783 182819 544931 651259 1209481 3814517 4558813 7084103 8466367 26701619 49588721 59264569 186911333 347121047 2429847329