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257146442 = 2773251611
BaseRepresentation
bin11110101001110…
…11111001001010
3122220212101121022
433110323321022
51011312141232
641303312442
76241465040
oct1724737112
9586771538
10257146442
11122174a23
127214b722
1341375477
142621a390
1517896812
hexf53be4a

257146442 has 16 divisors (see below), whose sum is σ = 446862912. Its totient is φ = 108695520.

The previous prime is 257146441. The next prime is 257146453. The reversal of 257146442 is 244641752.

It is a happy number.

It is a super-2 number, since 2×2571464422 = 132248585266518728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (257146441) 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 7 ways as a sum of consecutive naturals, for example, 124784 + ... + 126827.

It is an arithmetic number, because the mean of its divisors is an integer number (27928932).

Almost surely, 2257146442 is an apocalyptic number.

257146442 is a deficient number, since it is larger than the sum of its proper divisors (189716470).

257146442 is a wasteful number, since it uses less digits than its factorization.

257146442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251693.

The product of its digits is 53760, while the sum is 35.

The square root of 257146442 is about 16035.7862919160. The cubic root of 257146442 is about 635.9068548242.

The spelling of 257146442 in words is "two hundred fifty-seven million, one hundred forty-six thousand, four hundred forty-two".

Divisors: 1 2 7 14 73 146 511 1022 251611 503222 1761277 3522554 18367603 36735206 128573221 257146442