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257143757 = 1353373213
BaseRepresentation
bin11110101001110…
…11001111001101
3122220212020220212
433110323033031
51011312100012
641303252205
76241454153
oct1724731715
9586766825
10257143757
11122172a02
127214a065
1341374190
14262193d3
1517895b22
hexf53b3cd

257143757 has 8 divisors (see below), whose sum is σ = 282149784. Its totient is φ = 232884288.

The previous prime is 257143697. The next prime is 257143763. The reversal of 257143757 is 757341752.

It can be written as a sum of positive squares in 4 ways, for example, as 68740681 + 188403076 = 8291^2 + 13726^2 .

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

It is not a de Polignac number, because 257143757 - 210 = 257142733 is a prime.

It is a super-2 number, since 2×2571437572 = 132245823528150098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257143787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185918 + ... + 187295.

It is an arithmetic number, because the mean of its divisors is an integer number (35268723).

Almost surely, 2257143757 is an apocalyptic number.

It is an amenable number.

257143757 is a deficient number, since it is larger than the sum of its proper divisors (25006027).

257143757 is a wasteful number, since it uses less digits than its factorization.

257143757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373279.

The product of its digits is 205800, while the sum is 41.

The square root of 257143757 is about 16035.7025726970. The cubic root of 257143757 is about 635.9046415383.

The spelling of 257143757 in words is "two hundred fifty-seven million, one hundred forty-three thousand, seven hundred fifty-seven".

Divisors: 1 13 53 689 373213 4851769 19780289 257143757