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253427625 = 32531120479
BaseRepresentation
bin11110001101011…
…11111110101001
3122122212110100100
433012233332221
51004334141000
641051500013
76165046023
oct1706577651
9578773310
10253427625
11120064a20
1270a57609
1340672899
142592d013
15173aea00
hexf1affa9

253427625 has 48 divisors (see below), whose sum is σ = 498401280. Its totient is φ = 122868000.

The previous prime is 253427599. The next prime is 253427627. The reversal of 253427625 is 526724352.

253427625 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 27 + 625 = 666.

It is not a de Polignac number, because 253427625 - 214 = 253411241 is a prime.

It is a super-2 number, since 2×2534276252 = 128451122226281250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253427625.

It is not an unprimeable number, because it can be changed into a prime (253427627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2136 + ... + 22614.

It is an arithmetic number, because the mean of its divisors is an integer number (10383360).

Almost surely, 2253427625 is an apocalyptic number.

253427625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253427625 is a deficient number, since it is larger than the sum of its proper divisors (244973655).

253427625 is a wasteful number, since it uses less digits than its factorization.

253427625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20511 (or 20498 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 253427625 is about 15919.4103219937. The cubic root of 253427625 is about 632.8264912316.

The spelling of 253427625 in words is "two hundred fifty-three million, four hundred twenty-seven thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 125 165 225 275 375 495 825 1125 1375 2475 4125 12375 20479 61437 102395 184311 225269 307185 511975 675807 921555 1126345 1535925 2027421 2559875 3379035 4607775 5631725 7679625 10137105 16895175 23038875 28158625 50685525 84475875 253427625