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257105043 = 3313732493
BaseRepresentation
bin11110101001100…
…01110010010011
3122220210021211000
433110301302103
51011304330133
641302353043
76241233246
oct1724616223
9586707730
10257105043
11122146908
127212b783
134135c680
142620925d
1517889413
hexf531c93

257105043 has 16 divisors (see below), whose sum is σ = 410196640. Its totient is φ = 158218272.

The previous prime is 257105011. The next prime is 257105047. The reversal of 257105043 is 340501752.

It is a happy number.

257105043 is a `hidden beast` number, since 2 + 571 + 0 + 50 + 43 = 666.

It is not a de Polignac number, because 257105043 - 25 = 257105011 is a prime.

It is a super-2 number, since 2×2571050432 = 132206006272063698, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257104998 and 257105016.

It is not an unprimeable number, because it can be changed into a prime (257105047) 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, 365896 + ... + 366597.

It is an arithmetic number, because the mean of its divisors is an integer number (25637290).

Almost surely, 2257105043 is an apocalyptic number.

257105043 is a deficient number, since it is larger than the sum of its proper divisors (153091597).

257105043 is a wasteful number, since it uses less digits than its factorization.

257105043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732515 (or 732509 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 257105043 is about 16034.4954083376. The cubic root of 257105043 is about 635.8727272916.

Adding to 257105043 its reverse (340501752), we get a palindrome (597606795).

The spelling of 257105043 in words is "two hundred fifty-seven million, one hundred five thousand, forty-three".

Divisors: 1 3 9 13 27 39 117 351 732493 2197479 6592437 9522409 19777311 28567227 85701681 257105043