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257887669 = 1337536149
BaseRepresentation
bin11110101111100…
…00110110110101
3122222021001101011
433113300312311
51012004401134
641331232221
76251003044
oct1727606665
9588231334
10257887669
11122630906
1272448671
1341574970
142637055b
1517991264
hexf5f0db5

257887669 has 8 divisors (see below), whose sum is σ = 285231800. Its totient is φ = 231615936.

The previous prime is 257887657. The next prime is 257887697. The reversal of 257887669 is 966788752.

It can be written as a sum of positive squares in 4 ways, for example, as 117180625 + 140707044 = 10825^2 + 11862^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 257887669 - 215 = 257854901 is a prime.

It is a super-2 number, since 2×2578876692 = 133012099644507122, 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 (257887369) 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, 267594 + ... + 268555.

It is an arithmetic number, because the mean of its divisors is an integer number (35653975).

Almost surely, 2257887669 is an apocalyptic number.

It is an amenable number.

257887669 is a deficient number, since it is larger than the sum of its proper divisors (27344131).

257887669 is a wasteful number, since it uses less digits than its factorization.

257887669 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536199.

The product of its digits is 10160640, while the sum is 58.

The square root of 257887669 is about 16058.8813122210. The cubic root of 257887669 is about 636.5172711548.

The spelling of 257887669 in words is "two hundred fifty-seven million, eight hundred eighty-seven thousand, six hundred sixty-nine".

Divisors: 1 13 37 481 536149 6969937 19837513 257887669