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2729203296 = 253314392089
BaseRepresentation
bin1010001010101100…
…0101011001100000
321001012110220002120
42202223011121200
521042134001141
61130452144240
7124426562631
oct24253053140
97035426076
102729203296
111180622916
12642008080
1334656cbc1
141bc675888
1510e902c66
hexa2ac5660

2729203296 has 96 divisors (see below), whose sum is σ = 7415654400. Its totient is φ = 877962240.

The previous prime is 2729203289. The next prime is 2729203363. The reversal of 2729203296 is 6923029272.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1305420 + ... + 1307508.

It is an arithmetic number, because the mean of its divisors is an integer number (77246400).

Almost surely, 22729203296 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 2729203296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707827200).

2729203296 is an abundant number, since it is smaller than the sum of its proper divisors (4686451104).

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

2729203296 is a wasteful number, since it uses less digits than its factorization.

2729203296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 2729203296 is about 52241.7773051415. Note that the first 3 decimals coincide. The cubic root of 2729203296 is about 1397.4790169265.

The spelling of 2729203296 in words is "two billion, seven hundred twenty-nine million, two hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 439 496 744 878 992 1317 1488 1756 2089 2634 2976 3512 4178 5268 6267 7024 8356 10536 12534 13609 14048 16712 21072 25068 27218 33424 40827 42144 50136 54436 64759 66848 81654 100272 108872 129518 163308 194277 200544 217744 259036 326616 388554 435488 518072 653232 777108 917071 1036144 1306464 1554216 1834142 2072288 2751213 3108432 3668284 5502426 6216864 7336568 11004852 14673136 22009704 28429201 29346272 44019408 56858402 85287603 88038816 113716804 170575206 227433608 341150412 454867216 682300824 909734432 1364601648 2729203296