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252205461 = 339340943
BaseRepresentation
bin11110000100001…
…01100110010101
3122120120100212000
433002011212111
51004031033321
641005345513
76151465614
oct1702054625
9576510760
10252205461
1111a3aa772
1270568299
1340335501
14256d187b
151721c826
hexf085995

252205461 has 8 divisors (see below), whose sum is σ = 373637760. Its totient is φ = 168136956.

The previous prime is 252205423. The next prime is 252205463. The reversal of 252205461 is 164502252.

It is not a de Polignac number, because 252205461 - 26 = 252205397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9340943 = 252205461 / (2 + 5 + 2 + 2 + 0 + 5 + 4 + 6 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252205463) 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 7 ways as a sum of consecutive naturals, for example, 4670445 + ... + 4670498.

It is an arithmetic number, because the mean of its divisors is an integer number (46704720).

Almost surely, 2252205461 is an apocalyptic number.

It is an amenable number.

252205461 is a deficient number, since it is larger than the sum of its proper divisors (121432299).

252205461 is an equidigital number, since it uses as much as digits as its factorization.

252205461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340952 (or 9340946 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 252205461 is about 15880.9779610703. The cubic root of 252205461 is about 631.8075752445.

The spelling of 252205461 in words is "two hundred fifty-two million, two hundred five thousand, four hundred sixty-one".

Divisors: 1 3 9 27 9340943 28022829 84068487 252205461