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257531968 = 264023937
BaseRepresentation
bin11110101100110…
…10000001000000
3122221120222110001
433112122001000
51011412010333
641315445344
76244662031
oct1726320100
9587528401
10257531968
11122408641
12722b6854
134147baa5
14262baa88
1517920b7d
hexf59a040

257531968 has 14 divisors (see below), whose sum is σ = 511040126. Its totient is φ = 128765952.

The previous prime is 257531933. The next prime is 257531969. The reversal of 257531968 is 869135752.

It can be written as a sum of positive squares in only one way, i.e., 257025024 + 506944 = 16032^2 + 712^2 .

It is not an unprimeable number, because it can be changed into a prime (257531969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2011905 + ... + 2012032.

Almost surely, 2257531968 is an apocalyptic number.

It is an amenable number.

257531968 is a deficient number, since it is larger than the sum of its proper divisors (253508158).

257531968 is an equidigital number, since it uses as much as digits as its factorization.

257531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023949 (or 4023939 counting only the distinct ones).

The product of its digits is 453600, while the sum is 46.

The square root of 257531968 is about 16047.8025910092. The cubic root of 257531968 is about 636.2244899279.

It can be divided in two parts, 2575 and 31968, that added together give a palindrome (34543).

The spelling of 257531968 in words is "two hundred fifty-seven million, five hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 4023937 8047874 16095748 32191496 64382992 128765984 257531968