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249845329 is a prime number
BaseRepresentation
bin11101110010001…
…01011001010001
3122102010110100201
432321011121101
51002430022304
640443015201
76122436016
oct1671053121
9572113321
10249845329
11119038548
126b80a501
133c9ba196
142527970d
1516e033a4
hexee45651

249845329 has 2 divisors, whose sum is σ = 249845330. Its totient is φ = 249845328.

The previous prime is 249845327. The next prime is 249845363. The reversal of 249845329 is 923548942.

249845329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241864704 + 7980625 = 15552^2 + 2825^2 .

It is a cyclic number.

It is not a de Polignac number, because 249845329 - 21 = 249845327 is a prime.

Together with 249845327, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (249845327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124922664 + 124922665.

It is an arithmetic number, because the mean of its divisors is an integer number (124922665).

Almost surely, 2249845329 is an apocalyptic number.

It is an amenable number.

249845329 is a deficient number, since it is larger than the sum of its proper divisors (1).

249845329 is an equidigital number, since it uses as much as digits as its factorization.

249845329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 622080, while the sum is 46.

The square root of 249845329 is about 15806.4964176126. The cubic root of 249845329 is about 629.8305826469.

The spelling of 249845329 in words is "two hundred forty-nine million, eight hundred forty-five thousand, three hundred twenty-nine".