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257242432 = 264019413
BaseRepresentation
bin11110101010100…
…11010101000000
3122221001021021111
433111103111000
51011323224212
641305333104
76242344636
oct1725232500
9587037244
10257242432
11122230057
1272197194
13413aa075
1426243356
15178b4ea7
hexf553540

257242432 has 14 divisors (see below), whose sum is σ = 510465578. Its totient is φ = 128621184.

The previous prime is 257242423. The next prime is 257242451. The reversal of 257242432 is 234242752.

It can be written as a sum of positive squares in only one way, i.e., 250398976 + 6843456 = 15824^2 + 2616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 257242394 and 257242403.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 2009643 + ... + 2009770.

It is an arithmetic number, because the mean of its divisors is an integer number (36461827).

Almost surely, 2257242432 is an apocalyptic number.

It is an amenable number.

257242432 is a deficient number, since it is larger than the sum of its proper divisors (253223146).

257242432 is an equidigital number, since it uses as much as digits as its factorization.

257242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019425 (or 4019415 counting only the distinct ones).

The product of its digits is 26880, while the sum is 31.

The square root of 257242432 is about 16038.7790058969. The cubic root of 257242432 is about 635.9859707096.

The spelling of 257242432 in words is "two hundred fifty-seven million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 4019413 8038826 16077652 32155304 64310608 128621216 257242432