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257130477 = 3319501229
BaseRepresentation
bin11110101001101…
…11111111101101
3122220211120201000
433110313333231
51011311133402
641303110513
76241400352
oct1724677755
9586746630
10257130477
11122163a2a
1272142439
134136b116
1426214629
1517891c1c
hexf537fed

257130477 has 16 divisors (see below), whose sum is σ = 400984000. Its totient is φ = 162397872.

The previous prime is 257130473. The next prime is 257130493. The reversal of 257130477 is 774031752.

257130477 is a `hidden beast` number, since 2 + 57 + 130 + 477 = 666.

It is not a de Polignac number, because 257130477 - 22 = 257130473 is a prime.

It is a super-2 number, since 2×2571304772 = 132232164404495058, 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 (257130473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250102 + ... + 251127.

It is an arithmetic number, because the mean of its divisors is an integer number (25061500).

Almost surely, 2257130477 is an apocalyptic number.

257130477 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

257130477 is a deficient number, since it is larger than the sum of its proper divisors (143853523).

257130477 is a wasteful number, since it uses less digits than its factorization.

257130477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501257 (or 501251 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 257130477 is about 16035.2884913244. The cubic root of 257130477 is about 635.8936944075.

The spelling of 257130477 in words is "two hundred fifty-seven million, one hundred thirty thousand, four hundred seventy-seven".

Divisors: 1 3 9 19 27 57 171 513 501229 1503687 4511061 9523351 13533183 28570053 85710159 257130477