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257297853 = 3434674271
BaseRepresentation
bin11110101011000…
…00110110111101
3122221011002022010
433111200312331
51011332012403
641310441433
76242665341
oct1725406675
9587132263
10257297853
1112226875a
1272203279
13413c9367
1426259621
15178c6603
hexf560dbd

257297853 has 16 divisors (see below), whose sum is σ = 351876096. Its totient is φ = 167144880.

The previous prime is 257297827. The next prime is 257297869. The reversal of 257297853 is 358792752.

It is a happy number.

It is not a de Polignac number, because 257297853 - 28 = 257297597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257297893) 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, 58108 + ... + 62378.

It is an arithmetic number, because the mean of its divisors is an integer number (21992256).

Almost surely, 2257297853 is an apocalyptic number.

It is an amenable number.

257297853 is a deficient number, since it is larger than the sum of its proper divisors (94578243).

257297853 is a wasteful number, since it uses less digits than its factorization.

257297853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784.

The product of its digits is 1058400, while the sum is 48.

The square root of 257297853 is about 16040.5066316498. The cubic root of 257297853 is about 636.0316402716.

The spelling of 257297853 in words is "two hundred fifty-seven million, two hundred ninety-seven thousand, eight hundred fifty-three".

Divisors: 1 3 43 129 467 1401 4271 12813 20081 60243 183653 550959 1994557 5983671 85765951 257297853