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253234125 = 32531713241
BaseRepresentation
bin11110001100000…
…00101111001101
3122122111121220200
433012000233031
51004311443000
641043404113
76163311624
oct1706005715
9578447820
10253234125
1111aa42601
1270983639
13406057a1
14258bc6bb
1517372500
hexf180bcd

253234125 has 48 divisors (see below), whose sum is σ = 483385968. Its totient is φ = 127104000.

The previous prime is 253234099. The next prime is 253234129. The reversal of 253234125 is 521432352.

It is a happy number.

253234125 is a `hidden beast` number, since 2 + 532 + 3 + 4 + 125 = 666.

253234125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2518569 + 250715556 = 1587^2 + 15834^2 .

It is not a de Polignac number, because 253234125 - 215 = 253201357 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253234129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12505 + ... + 25745.

It is an arithmetic number, because the mean of its divisors is an integer number (10070541).

Almost surely, 2253234125 is an apocalyptic number.

253234125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253234125 is a deficient number, since it is larger than the sum of its proper divisors (230151843).

253234125 is a wasteful number, since it uses less digits than its factorization.

253234125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13279 (or 13266 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 253234125 is about 15913.3316750453. The cubic root of 253234125 is about 632.6653892147.

Adding to 253234125 its reverse (521432352), we get a palindrome (774666477).

The spelling of 253234125 in words is "two hundred fifty-three million, two hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 765 1125 1275 2125 3825 6375 13241 19125 39723 66205 119169 198615 225097 331025 595845 675291 993075 1125485 1655125 2025873 2979225 3376455 4965375 5627425 10129365 14896125 16882275 28137125 50646825 84411375 253234125