Search a number
-
+
257474116 = 227121132
BaseRepresentation
bin11110101100010…
…11111001000100
3122221111001002101
433112023321010
51011403132431
641314321444
76244331254
oct1726137104
9587431071
10257474116
11122379129
1272289284
134145b663
14262a3964
151790d961
hexf58be44

257474116 has 27 divisors (see below), whose sum is σ = 461095453. Its totient is φ = 125800640.

The previous prime is 257474071. The next prime is 257474117. The reversal of 257474116 is 611474752.

The square root of 257474116 is 16046.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4536900 + 252937216 = 2130^2 + 15904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257474117) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2278476 + ... + 2278588.

Almost surely, 2257474116 is an apocalyptic number.

257474116 is the 16046-th square number.

It is an amenable number.

257474116 is a deficient number, since it is larger than the sum of its proper divisors (203621337).

257474116 is an equidigital number, since it uses as much as digits as its factorization.

257474116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The cubic root of 257474116 is about 636.1768458549.

The spelling of 257474116 in words is "two hundred fifty-seven million, four hundred seventy-four thousand, one hundred sixteen".

Divisors: 1 2 4 71 113 142 226 284 452 5041 8023 10082 12769 16046 20164 25538 32092 51076 569633 906599 1139266 1813198 2278532 3626396 64368529 128737058 257474116