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249931249 is a prime number
BaseRepresentation
bin11101110010110…
…10010111110001
3122102021211012221
432321122113301
51002440244444
640444521041
76123244351
oct1671322761
9572254187
10249931249
11119097057
126b850181
133ca1a319
142529cb61
1516e1da84
hexee5a5f1

249931249 has 2 divisors, whose sum is σ = 249931250. Its totient is φ = 249931248.

The previous prime is 249931217. The next prime is 249931277. The reversal of 249931249 is 942139942.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235070224 + 14861025 = 15332^2 + 3855^2 .

It is a cyclic number.

It is not a de Polignac number, because 249931249 - 25 = 249931217 is a prime.

It is not a weakly prime, because it can be changed into another prime (249935249) 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 as a sum of consecutive naturals, namely, 124965624 + 124965625.

It is an arithmetic number, because the mean of its divisors is an integer number (124965625).

Almost surely, 2249931249 is an apocalyptic number.

It is an amenable number.

249931249 is a deficient number, since it is larger than the sum of its proper divisors (1).

249931249 is an equidigital number, since it uses as much as digits as its factorization.

249931249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139968, while the sum is 43.

The square root of 249931249 is about 15809.2140538358. The cubic root of 249931249 is about 629.9027724317.

The spelling of 249931249 in words is "two hundred forty-nine million, nine hundred thirty-one thousand, two hundred forty-nine".