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257274 = 23214293
BaseRepresentation
bin111110110011111010
3111001220200
4332303322
531213044
65303030
72121033
oct766372
9431820
10257274
11166326
12104a76
1390144
1469a8a
1551369
hex3ecfa

257274 has 12 divisors (see below), whose sum is σ = 557466. Its totient is φ = 85752.

The previous prime is 257273. The next prime is 257281. The reversal of 257274 is 472752.

It can be written as a sum of positive squares in only one way, i.e., 257049 + 225 = 507^2 + 15^2 .

It is a super-2 number, since 2×2572742 = 132379822152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (257273) 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 5 ways as a sum of consecutive naturals, for example, 7129 + ... + 7164.

2257274 is an apocalyptic number.

257274 is an abundant number, since it is smaller than the sum of its proper divisors (300192).

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

257274 is a wasteful number, since it uses less digits than its factorization.

257274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14301 (or 14298 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 257274 is about 507.2218449554. The cubic root of 257274 is about 63.6011985060.

The spelling of 257274 in words is "two hundred fifty-seven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 14293 28586 42879 85758 128637 257274