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253305032 = 231723312
BaseRepresentation
bin11110001100100…
…10000011001000
3122122122020011212
433012102003020
51004321230112
641045112252
76164025431
oct1706220310
9578566155
10253305032
1111aa90902
12709b8688
134062bb46
14258da488
1517388522
hexf1920c8

253305032 has 36 divisors (see below), whose sum is σ = 506057265. Its totient is φ = 118842240.

The previous prime is 253305023. The next prime is 253305037. The reversal of 253305032 is 230503352.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 231831076 + 21473956 = 15226^2 + 4634^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11254.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 253304989 and 253305007.

It is not an unprimeable number, because it can be changed into a prime (253305037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 765107 + ... + 765437.

Almost surely, 2253305032 is an apocalyptic number.

It is an amenable number.

253305032 is a deficient number, since it is larger than the sum of its proper divisors (252752233).

253305032 is an equidigital number, since it uses as much as digits as its factorization.

253305032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 23.

The square root of 253305032 is about 15915.5594309468. The cubic root of 253305032 is about 632.7244336771.

Adding to 253305032 its reverse (230503352), we get a palindrome (483808384).

The spelling of 253305032 in words is "two hundred fifty-three million, three hundred five thousand, thirty-two".

Divisors: 1 2 4 8 17 34 68 136 289 331 578 662 1156 1324 2312 2648 5627 11254 22508 45016 95659 109561 191318 219122 382636 438244 765272 876488 1862537 3725074 7450148 14900296 31663129 63326258 126652516 253305032