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257114273 = 13172834111
BaseRepresentation
bin11110101001101…
…00000010100001
3122220210202110212
433110310002201
51011310124043
641302503505
76241302203
oct1724640241
9586722425
10257114273
11122152839
1272134b95
1341363930
142620c773
151788c018
hexf5340a1

257114273 has 16 divisors (see below), whose sum is σ = 294287616. Its totient is φ = 222531840.

The previous prime is 257114237. The next prime is 257114281. The reversal of 257114273 is 372411752.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257114273 is a prime.

It is a super-2 number, since 2×2571142732 = 132215498760637058, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257114873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60488 + ... + 64598.

It is an arithmetic number, because the mean of its divisors is an integer number (18392976).

Almost surely, 2257114273 is an apocalyptic number.

It is an amenable number.

257114273 is a deficient number, since it is larger than the sum of its proper divisors (37173343).

257114273 is a wasteful number, since it uses less digits than its factorization.

257114273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424.

The product of its digits is 11760, while the sum is 32.

The square root of 257114273 is about 16034.7832227318. The cubic root of 257114273 is about 635.8803364189.

The spelling of 257114273 in words is "two hundred fifty-seven million, one hundred fourteen thousand, two hundred seventy-three".

Divisors: 1 13 17 221 283 3679 4111 4811 53443 62543 69887 908531 1163413 15124369 19778021 257114273