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252438441 = 37183109131
BaseRepresentation
bin11110000101111…
…10011110101001
3122121000012102220
433002332132221
51004111012231
641014344253
76153456063
oct1702763651
9577005386
10252438441
1111a549812
127065b089
13403b7578
1425752733
1517266896
hexf0be7a9

252438441 has 32 divisors (see below), whose sum is σ = 351267840. Its totient is φ = 161179200.

The previous prime is 252438413. The next prime is 252438449. The reversal of 252438441 is 144834252.

It is not a de Polignac number, because 252438441 - 26 = 252438377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252438449) 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 31 ways as a sum of consecutive naturals, for example, 1926946 + ... + 1927076.

It is an arithmetic number, because the mean of its divisors is an integer number (10977120).

Almost surely, 2252438441 is an apocalyptic number.

It is an amenable number.

252438441 is a deficient number, since it is larger than the sum of its proper divisors (98829399).

252438441 is a wasteful number, since it uses less digits than its factorization.

252438441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its digits is 30720, while the sum is 33.

The square root of 252438441 is about 15888.3114584275. The cubic root of 252438441 is about 632.0020637985.

The spelling of 252438441 in words is "two hundred fifty-two million, four hundred thirty-eight thousand, four hundred forty-one".

Divisors: 1 3 71 83 109 131 213 249 327 393 5893 7739 9047 9301 10873 14279 17679 23217 27141 27903 32619 42837 642337 771983 1013809 1185157 1927011 2315949 3041427 3555471 84146147 252438441