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253308031 = 3797163433
BaseRepresentation
bin11110001100100…
…10110001111111
3122122122101021221
433012102301333
51004321324111
641045134211
76164040244
oct1706226177
9578571257
10253308031
1111aa93089
12709ba367
1340630312
14258db5cb
1517389371
hexf192c7f

253308031 has 16 divisors (see below), whose sum is σ = 265059424. Its totient is φ = 241864704.

The previous prime is 253308023. The next prime is 253308053. The reversal of 253308031 is 130803352.

It is a 12-Lehmer number, since φ(253308031) divides (253308031-1)12.

It is a cyclic number.

It is not a de Polignac number, because 253308031 - 23 = 253308023 is a prime.

It is a super-2 number, since 2×2533080312 = 128329917138193922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 253307987 and 253308005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253308001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584791 + ... + 585223.

It is an arithmetic number, because the mean of its divisors is an integer number (16566214).

Almost surely, 2253308031 is an apocalyptic number.

253308031 is a deficient number, since it is larger than the sum of its proper divisors (11751393).

253308031 is a wasteful number, since it uses less digits than its factorization.

253308031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 253308031 is about 15915.6536466461. The cubic root of 253308031 is about 632.7269307101.

The spelling of 253308031 in words is "two hundred fifty-three million, three hundred eight thousand, thirty-one".

Divisors: 1 37 97 163 433 3589 6031 15811 16021 42001 70579 585007 1554037 2611423 6846163 253308031