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257211423 = 3374331649
BaseRepresentation
bin11110101010010…
…11110000011111
3122220222200202000
433111023300133
51011321231143
641304533343
76242155350
oct1725136037
9586880660
10257211423
11122209827
1272181253
1341398c11
1426235d27
15178aabd3
hexf54bc1f

257211423 has 32 divisors (see below), whose sum is σ = 445632000. Its totient is φ = 143555328.

The previous prime is 257211421. The next prime is 257211463. The reversal of 257211423 is 324112752.

257211423 is a `hidden beast` number, since 25 + 7 + 211 + 423 = 666.

It is not a de Polignac number, because 257211423 - 21 = 257211421 is a prime.

It is a super-2 number, since 2×2572114232 = 132315432243369858, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257211421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7698 + ... + 23951.

It is an arithmetic number, because the mean of its divisors is an integer number (13926000).

Almost surely, 2257211423 is an apocalyptic number.

257211423 is a deficient number, since it is larger than the sum of its proper divisors (188420577).

257211423 is a wasteful number, since it uses less digits than its factorization.

257211423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31708 (or 31702 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 257211423 is about 16037.8122884638. The cubic root of 257211423 is about 635.9604149446.

The spelling of 257211423 in words is "two hundred fifty-seven million, two hundred eleven thousand, four hundred twenty-three".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 903 1161 2709 8127 31649 94947 221543 284841 664629 854523 1360907 1993887 4082721 5981661 9526349 12248163 28579047 36744489 85737141 257211423