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2728979442 = 2327217592
BaseRepresentation
bin1010001010101000…
…1110101111110010
321001012001112000200
42202222032233302
521042104320232
61130443300030
7124424641200
oct24252165762
97035045020
102728979442
11118048a712
12641b1a616
133464c2047
141bc618070
1510e8ab77c
hexa2a8ebf2

2728979442 has 54 divisors (see below), whose sum is σ = 6882054543. Its totient is φ = 779265144.

The previous prime is 2728979441. The next prime is 2728979453. The reversal of 2728979442 is 2449798272.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1364489721 + 1364489721 = 36939^2 + 36939^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=36939.

It is not an unprimeable number, because it can be changed into a prime (2728979441) 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 26 ways as a sum of consecutive naturals, for example, 1550559 + ... + 1552317.

Almost surely, 22728979442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728979442

2728979442 is an abundant number, since it is smaller than the sum of its proper divisors (4153075101).

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

2728979442 is an equidigital number, since it uses as much as digits as its factorization.

2728979442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 1771 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2728979442 is about 52239.6347804998. The cubic root of 2728979442 is about 1397.4408079955.

The spelling of 2728979442 in words is "two billion, seven hundred twenty-eight million, nine hundred seventy-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1759 3518 5277 10554 12313 15831 24626 31662 36939 73878 86191 110817 172382 221634 258573 517146 775719 1551438 3094081 6188162 9282243 18564486 21658567 27846729 43317134 55693458 64975701 129951402 151609969 194927103 303219938 389854206 454829907 909659814 1364489721 2728979442