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257061393 = 32193171683
BaseRepresentation
bin11110101001001…
…11001000010001
3122220201001221100
433110213020101
51011301431033
641301415013
76240662061
oct1724471021
9586631840
10257061393
11122117036
127210a469
1341345844
14261d73a1
151787b513
hexf527211

257061393 has 48 divisors (see below), whose sum is σ = 409743360. Its totient is φ = 154677600.

The previous prime is 257061391. The next prime is 257061443. The reversal of 257061393 is 393160752.

It is not a de Polignac number, because 257061393 - 21 = 257061391 is a prime.

It is a super-2 number, since 2×2570613932 = 132161119542200898, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257061391) 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 47 ways as a sum of consecutive naturals, for example, 376030 + ... + 376712.

It is an arithmetic number, because the mean of its divisors is an integer number (8536320).

Almost surely, 2257061393 is an apocalyptic number.

It is an amenable number.

257061393 is a deficient number, since it is larger than the sum of its proper divisors (152681967).

257061393 is a wasteful number, since it uses less digits than its factorization.

257061393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 257061393 is about 16033.1342226029. The cubic root of 257061393 is about 635.8367401647.

The spelling of 257061393 in words is "two hundred fifty-seven million, sixty-one thousand, three hundred ninety-three".

Divisors: 1 3 9 19 31 57 71 93 171 213 279 589 639 683 1349 1767 2049 2201 4047 5301 6147 6603 12141 12977 19809 21173 38931 41819 48493 63519 116793 125457 145479 190557 376371 402287 436437 921367 1206861 1503283 2764101 3620583 4509849 8292303 13529547 28562377 85687131 257061393