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238189049 = 7241532237
BaseRepresentation
bin11100011001001…
…11100111111001
3121121012020221122
432030213213321
5441434022144
635345115025
75621400500
oct1614474771
9547166848
10238189049
111124a6a5a
1267928a75
133a468787
14238c3837
1515d9e7ee
hexe3279f9

238189049 has 24 divisors (see below), whose sum is σ = 289319688. Its totient is φ = 195336960.

The previous prime is 238189043. The next prime is 238189051. The reversal of 238189049 is 940981832.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33269824 + 204919225 = 5768^2 + 14315^2 .

It is not a de Polignac number, because 238189049 - 28 = 238188793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238189043) 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 in 23 ways as a sum of consecutive naturals, for example, 105359 + ... + 107595.

It is an arithmetic number, because the mean of its divisors is an integer number (12054987).

Almost surely, 2238189049 is an apocalyptic number.

It is an amenable number.

238189049 is a deficient number, since it is larger than the sum of its proper divisors (51130639).

238189049 is a wasteful number, since it uses less digits than its factorization.

238189049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 238189049 is about 15433.3745175836. The cubic root of 238189049 is about 619.8794849006.

The spelling of 238189049 in words is "two hundred thirty-eight million, one hundred eighty-nine thousand, forty-nine".

Divisors: 1 7 41 49 53 287 371 2009 2173 2237 2597 15211 15659 91717 106477 109613 118561 642019 829927 4494133 4861001 5809489 34027007 238189049