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257163894 = 232132813911
BaseRepresentation
bin11110101010000…
…00001001110110
3122220220021112200
433111000021312
51011313221034
641303525330
76241566651
oct1725001166
9586807480
10257163894
11122187049
1272159846
13413803b0
1426222898
151789ba99
hexf540276

257163894 has 48 divisors (see below), whose sum is σ = 602338464. Its totient is φ = 78825600.

The previous prime is 257163887. The next prime is 257163899. The reversal of 257163894 is 498361752.

257163894 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 638 + 9 + 4 = 666.

It is a super-2 number, since 2×2571638942 = 132266536754486472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257163899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63799 + ... + 67709.

It is an arithmetic number, because the mean of its divisors is an integer number (12548718).

Almost surely, 2257163894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257163894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301169232).

257163894 is an abundant number, since it is smaller than the sum of its proper divisors (345174570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257163894 is a wasteful number, since it uses less digits than its factorization.

257163894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4210 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 257163894 is about 16036.3304405964. The cubic root of 257163894 is about 635.9212403955.

The spelling of 257163894 in words is "two hundred fifty-seven million, one hundred sixty-three thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 281 562 843 1686 2529 3653 3911 5058 7306 7822 10959 11733 21918 23466 32877 35199 50843 65754 70398 101686 152529 305058 457587 915174 1098991 2197982 3296973 6593946 9890919 14286883 19781838 28573766 42860649 85721298 128581947 257163894