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257006061 = 3313732211
BaseRepresentation
bin11110101000110…
…01100111101101
3122220121021001000
433110121213231
51011243143221
641300310513
76240341544
oct1724314755
9586537030
10257006061
11122089504
12720a2439
13413265c0
14261c115b
1517869e26
hexf5199ed

257006061 has 16 divisors (see below), whose sum is σ = 410038720. Its totient is φ = 158157360.

The previous prime is 257006053. The next prime is 257006083. The reversal of 257006061 is 160600752.

257006061 is a `hidden beast` number, since 2 + 57 + 0 + 0 + 606 + 1 = 666.

It is not a de Polignac number, because 257006061 - 23 = 257006053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257006041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365755 + ... + 366456.

It is an arithmetic number, because the mean of its divisors is an integer number (25627420).

Almost surely, 2257006061 is an apocalyptic number.

It is an amenable number.

257006061 is a deficient number, since it is larger than the sum of its proper divisors (153032659).

257006061 is a wasteful number, since it uses less digits than its factorization.

257006061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732233 (or 732227 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 257006061 is about 16031.4085781631. The cubic root of 257006061 is about 635.7911159882.

The spelling of 257006061 in words is "two hundred fifty-seven million, six thousand, sixty-one".

Divisors: 1 3 9 13 27 39 117 351 732211 2196633 6589899 9518743 19769697 28556229 85668687 257006061