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253117017 = 3229969797
BaseRepresentation
bin11110001011001…
…00001001011001
3122122021200021100
433011210021121
51004244221032
641041102013
76162313326
oct1705441131
9578250240
10253117017
1111a97261a
1270927909
13405943aa
142588bb4d
151734c97c
hexf164259

253117017 has 12 divisors (see below), whose sum is σ = 378221220. Its totient is φ = 162925728.

The previous prime is 253117003. The next prime is 253117019. The reversal of 253117017 is 710711352.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 130439241 + 122677776 = 11421^2 + 11076^2 .

It is not a de Polignac number, because 253117017 - 214 = 253100633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253117019) 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 11 ways as a sum of consecutive naturals, for example, 484638 + ... + 485159.

It is an arithmetic number, because the mean of its divisors is an integer number (31518435).

Almost surely, 2253117017 is an apocalyptic number.

It is an amenable number.

253117017 is a deficient number, since it is larger than the sum of its proper divisors (125104203).

253117017 is a wasteful number, since it uses less digits than its factorization.

253117017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969832 (or 969829 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 253117017 is about 15909.6516932333. The cubic root of 253117017 is about 632.5678489084.

Adding to 253117017 its reverse (710711352), we get a palindrome (963828369).

The spelling of 253117017 in words is "two hundred fifty-three million, one hundred seventeen thousand, seventeen".

Divisors: 1 3 9 29 87 261 969797 2909391 8728173 28124113 84372339 253117017