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238548025 = 5230892
BaseRepresentation
bin11100011011111…
…11010000111001
3121121212111101001
432031333100321
5442032014100
635400525001
75624424202
oct1615772071
9547774331
10238548025
11112721731
1267a80761
133a562ca1
14239785a9
1515e20d6a
hexe37f439

238548025 has 9 divisors (see below), whose sum is σ = 295895341. Its totient is φ = 190776640.

The previous prime is 238548017. The next prime is 238548031. The reversal of 238548025 is 520845832.

The square root of 238548025 is 15445.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28761769 + 209786256 = 5363^2 + 14484^2 .

It is not a de Polignac number, because 238548025 - 23 = 238548017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 75681 + ... + 78769.

Almost surely, 2238548025 is an apocalyptic number.

238548025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238548025 is the 15445-th square number.

238548025 is the 7723-rd centered octagonal number.

It is an amenable number.

238548025 is a deficient number, since it is larger than the sum of its proper divisors (57347316).

238548025 is an frugal number, since it uses more digits than its factorization.

238548025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The cubic root of 238548025 is about 620.1907364945.

The spelling of 238548025 in words is "two hundred thirty-eight million, five hundred forty-eight thousand, twenty-five".

Divisors: 1 5 25 3089 15445 77225 9541921 47709605 238548025