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238412525 = 5213273773
BaseRepresentation
bin11100011010111…
…10001011101101
3121121121121111112
432031132023231
5442013200100
635354001405
75623321151
oct1615361355
9547547445
10238412525
1111263994a
1267a16265
133a516400
1423941061
1515de5b35
hexe35e2ed

238412525 has 36 divisors (see below), whose sum is σ = 324926748. Its totient is φ = 173422080.

The previous prime is 238412519. The next prime is 238412527. The reversal of 238412525 is 525214832.

It can be written as a sum of positive squares in 18 ways, for example, as 238300969 + 111556 = 15437^2 + 334^2 .

It is not a de Polignac number, because 238412525 - 214 = 238396141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 238412491 and 238412500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238412527) 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 35 ways as a sum of consecutive naturals, for example, 308039 + ... + 308811.

It is an arithmetic number, because the mean of its divisors is an integer number (9025743).

Almost surely, 2238412525 is an apocalyptic number.

238412525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

238412525 is a deficient number, since it is larger than the sum of its proper divisors (86514223).

238412525 is a wasteful number, since it uses less digits than its factorization.

238412525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 864 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 238412525 is about 15440.6128440551. The cubic root of 238412525 is about 620.0732873825.

The spelling of 238412525 in words is "two hundred thirty-eight million, four hundred twelve thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 73 169 325 365 773 845 949 1825 3865 4225 4745 10049 12337 19325 23725 50245 56429 61685 130637 251225 282145 308425 653185 733577 1410725 3265925 3667885 9536501 18339425 47682505 238412525