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67616289 = 3413157409
BaseRepresentation
bin1000000011110…
…11111000100001
311201020021010000
410001323320201
5114302210124
610413130213
71450505016
oct401737041
9151207100
1067616289
1135193134
121a789969
1311015850
148da170d
155e096c9
hex407be21

67616289 has 40 divisors (see below), whose sum is σ = 109737320. Its totient is φ = 41243904.

The previous prime is 67616281. The next prime is 67616291. The reversal of 67616289 is 98261676.

67616289 is a `hidden beast` number, since 6 + 7 + 616 + 28 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7290000 + 60326289 = 2700^2 + 7767^2 .

It is not a de Polignac number, because 67616289 - 23 = 67616281 is a prime.

It is a super-3 number, since 3×676162893 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67616281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165117 + ... + 165525.

It is an arithmetic number, because the mean of its divisors is an integer number (2743433).

Almost surely, 267616289 is an apocalyptic number.

It is an amenable number.

67616289 is a deficient number, since it is larger than the sum of its proper divisors (42121031).

67616289 is a wasteful number, since it uses less digits than its factorization.

67616289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 582 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 67616289 is about 8222.9124402489. The cubic root of 67616289 is about 407.3963282761.

The spelling of 67616289 in words is "sixty-seven million, six hundred sixteen thousand, two hundred eighty-nine".

Divisors: 1 3 9 13 27 39 81 117 157 351 409 471 1053 1227 1413 2041 3681 4239 5317 6123 11043 12717 15951 18369 33129 47853 55107 64213 143559 165321 192639 430677 577917 834769 1733751 2504307 5201253 7512921 22538763 67616289