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249120449 is a prime number
BaseRepresentation
bin11101101100101…
…00011011000001
3122100202122000022
432312110123001
51002233323244
640415303225
76113326454
oct1666243301
9570678008
10249120449
11118692976
126b51ab15
133c7c5266
142512b49b
1516d0d6ee
hexed946c1

249120449 has 2 divisors, whose sum is σ = 249120450. Its totient is φ = 249120448.

The previous prime is 249120437. The next prime is 249120451. The reversal of 249120449 is 944021942.

It is a happy number.

249120449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160478224 + 88642225 = 12668^2 + 9415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-249120449 is a prime.

Together with 249120451, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p13633829 and since 249120449 and 13633829 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (249120049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124560224 + 124560225.

It is an arithmetic number, because the mean of its divisors is an integer number (124560225).

Almost surely, 2249120449 is an apocalyptic number.

It is an amenable number.

249120449 is a deficient number, since it is larger than the sum of its proper divisors (1).

249120449 is an equidigital number, since it uses as much as digits as its factorization.

249120449 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 249120449 is about 15783.5499492351. The cubic root of 249120449 is about 629.2208803149.

The spelling of 249120449 in words is "two hundred forty-nine million, one hundred twenty thousand, four hundred forty-nine".