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67675257 = 361337193
BaseRepresentation
bin1000000100010…
…10010001111001
311201100021000000
410002022101321
5114311102012
610414303213
71451141646
oct402122171
9151307000
1067675257
1135223471
121a7b7b09
1311036640
148db8dcd
155e1bddc
hex408a479

67675257 has 56 divisors (see below), whose sum is σ = 112806344. Its totient is φ = 40310784.

The previous prime is 67675243. The next prime is 67675273. The reversal of 67675257 is 75257676.

67675257 is a `hidden beast` number, since 67 + 67 + 525 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5517801 + 62157456 = 2349^2 + 7884^2 .

It is not a de Polignac number, because 67675257 - 26 = 67675193 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67670257) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 350553 + ... + 350745.

It is an arithmetic number, because the mean of its divisors is an integer number (2014399).

Almost surely, 267675257 is an apocalyptic number.

It is an amenable number.

67675257 is a deficient number, since it is larger than the sum of its proper divisors (45131087).

67675257 is a wasteful number, since it uses less digits than its factorization.

67675257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 67675257 is about 8226.4972497412. The cubic root of 67675257 is about 407.5147236453.

The spelling of 67675257 in words is "sixty-seven million, six hundred seventy-five thousand, two hundred fifty-seven".

Divisors: 1 3 9 13 27 37 39 81 111 117 193 243 333 351 481 579 729 999 1053 1443 1737 2509 2997 3159 4329 5211 7141 7527 8991 9477 12987 15633 21423 22581 26973 38961 46899 64269 67743 92833 116883 140697 192807 203229 278499 350649 578421 609687 835497 1735263 1829061 2506491 5205789 7519473 22558419 67675257