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2838012529 = 1122921672
BaseRepresentation
bin1010100100101000…
…1010001001110001
321022210012222022011
42221022022021301
521303012400104
61145340242521
7130220465002
oct25112121161
97283188264
102838012529
111226a90900
12672540441
13362c79271
141cccbb1a9
15119247904
hexa928a271

2838012529 has 27 divisors (see below), whose sum is σ = 3250207051. Its totient is φ = 2476129040.

The previous prime is 2838012491. The next prime is 2838012533. The reversal of 2838012529 is 9252108382.

The square root of 2838012529 is 53273.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1488184929 + 1349827600 = 38577^2 + 36740^2 .

It is not a de Polignac number, because 2838012529 - 29 = 2838012017 is a prime.

It is a super-2 number, since 2×28380125292 = 16108630229521951682, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2838012491 and 2838012500.

It is not an unprimeable number, because it can be changed into a prime (2838012559) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 16994004 + ... + 16994170.

Almost surely, 22838012529 is an apocalyptic number.

2838012529 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2838012529 is the 53273-rd square number.

2838012529 is the 26637-th centered octagonal number.

It is an amenable number.

2838012529 is a deficient number, since it is larger than the sum of its proper divisors (412194522).

2838012529 is an equidigital number, since it uses as much as digits as its factorization.

2838012529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The cubic root of 2838012529 is about 1415.8093284457.

The spelling of 2838012529 in words is "two billion, eight hundred thirty-eight million, twelve thousand, five hundred twenty-nine".

Divisors: 1 11 29 121 167 319 841 1837 3509 4843 9251 20207 27889 53273 101761 140447 306779 586003 808781 1544917 3374569 8896591 16994087 23454649 97862501 258001139 2838012529