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257703381 = 321313011693
BaseRepresentation
bin11110101110000…
…11110111010101
3122221220200120200
433113003313111
51011433002011
641323251113
76246304545
oct1727036725
9587820520
10257703381
11122515401
1272379a99
134150bb10
1426323325
1517956856
hexf5c3dd5

257703381 has 24 divisors (see below), whose sum is σ = 401417016. Its totient is φ = 158371200.

The previous prime is 257703379. The next prime is 257703389. The reversal of 257703381 is 183307752.

257703381 is a `hidden beast` number, since 2 + 577 + 0 + 3 + 3 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14062500 + 243640881 = 3750^2 + 15609^2 .

It is not a de Polignac number, because 257703381 - 21 = 257703379 is a prime.

It is a super-2 number, since 2×2577033812 = 132822065157662322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257703389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151371 + ... + 153063.

It is an arithmetic number, because the mean of its divisors is an integer number (16725709).

Almost surely, 2257703381 is an apocalyptic number.

It is an amenable number.

257703381 is a deficient number, since it is larger than the sum of its proper divisors (143713635).

257703381 is a wasteful number, since it uses less digits than its factorization.

257703381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 257703381 is about 16053.1424026575. The cubic root of 257703381 is about 636.3656153995.

The spelling of 257703381 in words is "two hundred fifty-seven million, seven hundred three thousand, three hundred eighty-one".

Divisors: 1 3 9 13 39 117 1301 1693 3903 5079 11709 15237 16913 22009 50739 66027 152217 198081 2202593 6607779 19823337 28633709 85901127 257703381