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2729389752 = 2332293833413
BaseRepresentation
bin1010001010101111…
…0010111010111000
321001012211100212100
42202223302322320
521042210433002
61130500143400
7124431300345
oct24253627270
97035740770
102729389752
11118073aa11
12642097b60
13346606a2b
141bc6c37cc
1510e93d11c
hexa2af2eb8

2729389752 has 96 divisors (see below), whose sum is σ = 7669209600. Its totient is φ = 875874048.

The previous prime is 2729389711. The next prime is 2729389769. The reversal of 2729389752 is 2579839272.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 797998 + ... + 801410.

It is an arithmetic number, because the mean of its divisors is an integer number (79887600).

Almost surely, 22729389752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729389752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834604800).

2729389752 is an abundant number, since it is smaller than the sum of its proper divisors (4939819848).

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

2729389752 is a wasteful number, since it uses less digits than its factorization.

2729389752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3830 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 2729389752 is about 52243.5618234439. The cubic root of 2729389752 is about 1397.5108409164.

The spelling of 2729389752 in words is "two billion, seven hundred twenty-nine million, three hundred eighty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 383 522 696 766 1044 1149 1532 2088 2298 3064 3413 3447 4596 6826 6894 9192 10239 11107 13652 13788 20478 22214 27304 27576 30717 33321 40956 44428 61434 66642 81912 88856 98977 99963 122868 133284 197954 199926 245736 266568 296931 395908 399852 593862 791816 799704 890793 1187724 1307179 1781586 2375448 2614358 3563172 3921537 5228716 7126344 7843074 10457432 11764611 15686148 23529222 31372296 37908191 47058444 75816382 94116888 113724573 151632764 227449146 303265528 341173719 454898292 682347438 909796584 1364694876 2729389752