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253001024 = 269414201
BaseRepresentation
bin11110001010001…
…11110101000000
3122122001210011022
433011013311000
51004232013044
641034405012
76161321213
oct1705076500
9578053138
10253001024
1111a8a3461
1270890768
1340553663
142585b77a
15173283ee
hexf147d40

253001024 has 28 divisors (see below), whose sum is σ = 502702068. Its totient is φ = 126336000.

The previous prime is 253001009. The next prime is 253001029. The reversal of 253001024 is 420100352.

It can be written as a sum of positive squares in 2 ways, for example, as 74511424 + 178489600 = 8632^2 + 13360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253000993 and 253001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253001029) 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 3 ways as a sum of consecutive naturals, for example, 58124 + ... + 62324.

Almost surely, 2253001024 is an apocalyptic number.

It is an amenable number.

253001024 is a deficient number, since it is larger than the sum of its proper divisors (249701044).

253001024 is an equidigital number, since it uses as much as digits as its factorization.

253001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 253001024 is about 15906.0059097185. The cubic root of 253001024 is about 632.4712076339.

Adding to 253001024 its reverse (420100352), we get a palindrome (673101376).

The spelling of 253001024 in words is "two hundred fifty-three million, one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 941 1882 3764 4201 7528 8402 15056 16804 30112 33608 60224 67216 134432 268864 3953141 7906282 15812564 31625128 63250256 126500512 253001024