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249683353 is a prime number
BaseRepresentation
bin11101110000111…
…01110110011001
3122101211020011121
432320131312121
51002404331403
640435325241
76121162543
oct1670356631
9571736147
10249683353
11118a37887
126b750821
133c96153a
1425236693
1516dc03bd
hexee1dd99

249683353 has 2 divisors, whose sum is σ = 249683354. Its totient is φ = 249683352.

The previous prime is 249683311. The next prime is 249683383. The reversal of 249683353 is 353386942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248755984 + 927369 = 15772^2 + 963^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-249683353 is a prime.

It is not a weakly prime, because it can be changed into another prime (249683383) 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, 124841676 + 124841677.

It is an arithmetic number, because the mean of its divisors is an integer number (124841677).

Almost surely, 2249683353 is an apocalyptic number.

It is an amenable number.

249683353 is a deficient number, since it is larger than the sum of its proper divisors (1).

249683353 is an equidigital number, since it uses as much as digits as its factorization.

249683353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 466560, while the sum is 43.

The square root of 249683353 is about 15801.3718708218. The cubic root of 249683353 is about 629.6944457644.

It can be divided in two parts, 2496 and 83353, that added together give a square (85849 = 2932).

The spelling of 249683353 in words is "two hundred forty-nine million, six hundred eighty-three thousand, three hundred fifty-three".