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257426 = 2139901
BaseRepresentation
bin111110110110010010
3111002010022
4332312102
531214201
65303442
72121341
oct766622
9432108
10257426
11166454
12104b82
1390230
1469b58
155141b
hex3ed92

257426 has 8 divisors (see below), whose sum is σ = 415884. Its totient is φ = 118800.

The previous prime is 257407. The next prime is 257437. The reversal of 257426 is 624752.

It can be written as a sum of positive squares in 2 ways, for example, as 255025 + 2401 = 505^2 + 49^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (26), and also a Moran number because the ratio is a prime number: 9901 = 257426 / (2 + 5 + 7 + 4 + 2 + 6).

It is a Curzon number.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 257395 and 257404.

It is an unprimeable number.

257426 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 4925 + ... + 4976.

2257426 is an apocalyptic number.

257426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

257426 is a deficient number, since it is larger than the sum of its proper divisors (158458).

257426 is a wasteful number, since it uses less digits than its factorization.

257426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916.

The product of its digits is 3360, while the sum is 26.

The square root of 257426 is about 507.3716586488. The cubic root of 257426 is about 63.6137214438.

The spelling of 257426 in words is "two hundred fifty-seven thousand, four hundred twenty-six".

Divisors: 1 2 13 26 9901 19802 128713 257426