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253205388 = 223261115303
BaseRepresentation
bin11110001011110…
…01101110001100
3122122110011111100
433011321232030
51004310033023
641043023100
76163132062
oct1705715614
9578404440
10253205388
1111aa22a57
127096aa90
13405c5697
14258b2032
1517368c43
hexf179b8c

253205388 has 36 divisors (see below), whose sum is σ = 650545168. Its totient is φ = 83017440.

The previous prime is 253205387. The next prime is 253205389. The reversal of 253205388 is 883502352.

253205388 is a `hidden beast` number, since 253 + 20 + 5 + 388 = 666.

It is an interprime number because it is at equal distance from previous prime (253205387) and next prime (253205389).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2532053882 = 128225937024461088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (253205387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55456 + ... + 59847.

Almost surely, 2253205388 is an apocalyptic number.

It is an amenable number.

253205388 is an abundant number, since it is smaller than the sum of its proper divisors (397339780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253205388 is a wasteful number, since it uses less digits than its factorization.

253205388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115374 (or 115369 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 253205388 is about 15912.4287272559. The cubic root of 253205388 is about 632.6414566937.

The spelling of 253205388 in words is "two hundred fifty-three million, two hundred five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 115303 230606 345909 461212 691818 1037727 1383636 2075454 4150908 7033483 14066966 21100449 28133932 42200898 63301347 84401796 126602694 253205388