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2728353474 = 2327114014909
BaseRepresentation
bin1010001010011111…
…0101111011000010
321001010212201100200
42202213311323002
521041424302344
61130422030030
7124416423210
oct24247657302
97033781320
102728353474
1111800a2390
12641878316
13346333152
141bc4d3cb0
1510e7d6069
hexa29f5ec2

2728353474 has 96 divisors (see below), whose sum is σ = 7389982080. Its totient is φ = 706752000.

The previous prime is 2728353421. The next prime is 2728353479. The reversal of 2728353474 is 4743538272.

2728353474 is a `hidden beast` number, since 27 + 28 + 3 + 534 + 74 = 666.

It is not an unprimeable number, because it can be changed into a prime (2728353479) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 553332 + ... + 558240.

It is an arithmetic number, because the mean of its divisors is an integer number (76978980).

Almost surely, 22728353474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728353474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694991040).

2728353474 is an abundant number, since it is smaller than the sum of its proper divisors (4661628606).

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

2728353474 is a wasteful number, since it uses less digits than its factorization.

2728353474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5333 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 2728353474 is about 52233.6431239484. The cubic root of 2728353474 is about 1397.3339524062. Note that the first 3 decimals are identical.

The spelling of 2728353474 in words is "two billion, seven hundred twenty-eight million, three hundred fifty-three thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 401 462 693 802 1203 1386 2406 2807 3609 4411 4909 5614 7218 8421 8822 9818 13233 14727 16842 25263 26466 29454 30877 34363 39699 44181 50526 53999 61754 68726 79398 88362 92631 103089 107998 161997 185262 206178 277893 309267 323994 377993 485991 555786 618534 755986 971982 1133979 1968509 2267958 3401937 3937018 5905527 6803874 11811054 13779563 17716581 21653599 27559126 35433162 41338689 43307198 64960797 82677378 124016067 129921594 151575193 194882391 248032134 303150386 389764782 454725579 909451158 1364176737 2728353474