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252827289 = 321113316337
BaseRepresentation
bin11110001000111…
…01011010011001
3122121201221211200
433010131122121
51004210433124
641030544413
76156665541
oct1704353231
9577657750
10252827289
1111a794980
1270808109
13404c2560
1425814321
15172e1bc9
hexf11d699

252827289 has 48 divisors (see below), whose sum is σ = 442950144. Its totient is φ = 136857600.

The previous prime is 252827287. The next prime is 252827291. The reversal of 252827289 is 982728252.

It is an interprime number because it is at equal distance from previous prime (252827287) and next prime (252827291).

It is not a de Polignac number, because 252827289 - 21 = 252827287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252827287) 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, 36729 + ... + 43065.

It is an arithmetic number, because the mean of its divisors is an integer number (9228128).

Almost surely, 2252827289 is an apocalyptic number.

It is an amenable number.

252827289 is a deficient number, since it is larger than the sum of its proper divisors (190122855).

252827289 is a wasteful number, since it uses less digits than its factorization.

252827289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6395 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 252827289 is about 15900.5436699504. The cubic root of 252827289 is about 632.3264024930.

It can be divided in two parts, 252827 and 289, that added together give a triangular number (253116 = T711).

The spelling of 252827289 in words is "two hundred fifty-two million, eight hundred twenty-seven thousand, two hundred eighty-nine".

Divisors: 1 3 9 11 13 31 33 39 93 99 117 143 279 341 403 429 1023 1209 1287 3069 3627 4433 6337 13299 19011 39897 57033 69707 82381 196447 209121 247143 589341 627363 741429 906191 1768023 2160917 2553811 2718573 6482751 7661433 8155719 19448253 22984299 28091921 84275763 252827289