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257418421 = 1399719861
BaseRepresentation
bin11110101011111…
…10010010110101
3122221101012200121
433111332102311
51011344342141
641313211541
76244010011
oct1725762265
9587335617
10257418421
111223402a7
1272260bb1
134143c1c0
142628b541
15178ec1d1
hexf57e4b5

257418421 has 8 divisors (see below), whose sum is σ = 277511864. Its totient is φ = 237366720.

The previous prime is 257418379. The next prime is 257418431. The reversal of 257418421 is 124814752.

It can be written as a sum of positive squares in 4 ways, for example, as 970225 + 256448196 = 985^2 + 16014^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257418421 - 213 = 257410229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257418431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3031 + ... + 22891.

It is an arithmetic number, because the mean of its divisors is an integer number (34688983).

Almost surely, 2257418421 is an apocalyptic number.

It is an amenable number.

257418421 is a deficient number, since it is larger than the sum of its proper divisors (20093443).

257418421 is a wasteful number, since it uses less digits than its factorization.

257418421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20871.

The product of its digits is 17920, while the sum is 34.

The square root of 257418421 is about 16044.2644268910. The cubic root of 257418421 is about 636.1309714384.

The spelling of 257418421 in words is "two hundred fifty-seven million, four hundred eighteen thousand, four hundred twenty-one".

Divisors: 1 13 997 12961 19861 258193 19801417 257418421