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2729093328 = 2432131457849
BaseRepresentation
bin1010001010101010…
…1010100011010000
321001012021022020200
42202222222203100
521042121441303
61130445535200
7124425624213
oct24252524320
97035238220
102729093328
111180558235
12641b74500
13346531b30
141bc64777a
1510e8d03a3
hexa2aaa8d0

2729093328 has 60 divisors (see below), whose sum is σ = 8225189700. Its totient is φ = 839720448.

The previous prime is 2729093303. The next prime is 2729093371. The reversal of 2729093328 is 8233909272.

2729093328 is a `hidden beast` number, since 27 + 290 + 9 + 332 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132987024 + 2596106304 = 11532^2 + 50952^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727053 + ... + 730796.

It is an arithmetic number, because the mean of its divisors is an integer number (137086495).

Almost surely, 22729093328 is an apocalyptic number.

It is an amenable number.

2729093328 is an abundant number, since it is smaller than the sum of its proper divisors (5496096372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2729093328 is a wasteful number, since it uses less digits than its factorization.

2729093328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457876 (or 1457867 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2729093328 is about 52240.7248035477. The cubic root of 2729093328 is about 1397.4602470976.

The spelling of 2729093328 in words is "two billion, seven hundred twenty-nine million, ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 1457849 2915698 4373547 5831396 8747094 11662792 13120641 17494188 18952037 23325584 26241282 34988376 37904074 52482564 56856111 69976752 75808148 104965128 113712222 151616296 170568333 209930256 227424444 303232592 341136666 454848888 682273332 909697776 1364546664 2729093328