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238054041 = 323721392
BaseRepresentation
bin11100011000001…
…10101010011001
3121120221101202100
432030012222121
5441420212131
635342154013
75620266051
oct1614065231
9546841670
10238054041
11112414585
1267882909
133a41c1a4
142388a561
1515d747e6
hexe306a99

238054041 has 27 divisors (see below), whose sum is σ = 355961151. Its totient is φ = 153302544.

The previous prime is 238054039. The next prime is 238054057. The reversal of 238054041 is 140450832.

The square root of 238054041 is 15429.

It is a perfect power (a square), and thus also a powerful number.

238054041 is a `hidden beast` number, since 2 + 3 + 80 + 540 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 213014025 + 25040016 = 14595^2 + 5004^2 .

It is not a de Polignac number, because 238054041 - 21 = 238054039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 238053996 and 238054014.

It is not an unprimeable number, because it can be changed into a prime (238054031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1712550 + ... + 1712688.

Almost surely, 2238054041 is an apocalyptic number.

238054041 is the 15429-th square number.

238054041 is the 7715-th centered octagonal number.

It is an amenable number.

238054041 is a deficient number, since it is larger than the sum of its proper divisors (117907110).

238054041 is an equidigital number, since it uses as much as digits as its factorization.

238054041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 238054041 is about 619.7623447456.

The spelling of 238054041 in words is "two hundred thirty-eight million, fifty-four thousand, forty-one".

Divisors: 1 3 9 37 111 139 333 417 1251 1369 4107 5143 12321 15429 19321 46287 57963 173889 190291 570873 714877 1712619 2144631 6433893 26450449 79351347 238054041