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53086257 = 3272177397
BaseRepresentation
bin1100101010000…
…0100000110001
310200220001122200
43022200200301
5102042230012
65133453413
71213140300
oct312404061
9120801580
1053086257
1127a69544
1215941269
13acc90b3
14709c437
1549d93dc
hex32a0831

53086257 has 72 divisors (see below), whose sum is σ = 96727176. Its totient is φ = 27869184.

The previous prime is 53086237. The next prime is 53086259. The reversal of 53086257 is 75268035.

It can be written as a sum of positive squares in 4 ways, for example, as 14447601 + 38638656 = 3801^2 + 6216^2 .

It is not a de Polignac number, because 53086257 - 26 = 53086193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53086259) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 547233 + ... + 547329.

It is an arithmetic number, because the mean of its divisors is an integer number (1343433).

Almost surely, 253086257 is an apocalyptic number.

It is an amenable number.

53086257 is a deficient number, since it is larger than the sum of its proper divisors (43640919).

53086257 is a wasteful number, since it uses less digits than its factorization.

53086257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 53086257 is about 7286.0316359456. The cubic root of 53086257 is about 375.8322422943.

The spelling of 53086257 in words is "fifty-three million, eighty-six thousand, two hundred fifty-seven".

Divisors: 1 3 7 9 17 21 49 51 63 73 97 119 147 153 219 291 357 441 511 657 679 833 873 1071 1241 1533 1649 2037 2499 3577 3723 4599 4753 4947 6111 7081 7497 8687 10731 11169 11543 14259 14841 21243 26061 32193 34629 42777 49567 60809 63729 78183 80801 103887 120377 148701 182427 242403 346969 361131 446103 547281 727209 842639 1040907 1083393 2527917 3122721 5898473 7583751 17695419 53086257