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2931887249 is a prime number
BaseRepresentation
bin1010111011000001…
…0000110010010001
321120022212022012122
42232300100302101
522001030342444
61202532304025
7132440426144
oct25660206221
97508768178
102931887249
111274a79315
12699a72015
13379556a35
141db55605b
151225dc4ee
hexaec10c91

2931887249 has 2 divisors, whose sum is σ = 2931887250. Its totient is φ = 2931887248.

The previous prime is 2931887239. The next prime is 2931887251. The reversal of 2931887249 is 9427881392.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1766689024 + 1165198225 = 42032^2 + 34135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2931887249 is a prime.

Together with 2931887251, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2931887249.

It is not a weakly prime, because it can be changed into another prime (2931887209) 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 as a sum of consecutive naturals, namely, 1465943624 + 1465943625.

It is an arithmetic number, because the mean of its divisors is an integer number (1465943625).

Almost surely, 22931887249 is an apocalyptic number.

It is an amenable number.

2931887249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2931887249 is an equidigital number, since it uses as much as digits as its factorization.

2931887249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1741824, while the sum is 53.

The square root of 2931887249 is about 54146.9043344123. The cubic root of 2931887249 is about 1431.2508410997.

The spelling of 2931887249 in words is "two billion, nine hundred thirty-one million, eight hundred eighty-seven thousand, two hundred forty-nine".