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68585517 = 327111323331
BaseRepresentation
bin1000001011010…
…00100000101101
311210001111122100
410011220200231
5120024214032
610450005313
71461652530
oct405504055
9153044570
1068585517
1135795350
121ab76839
1311294a60
149174a17
15604b97c
hex416882d

68585517 has 96 divisors (see below), whose sum is σ = 139216896. Its totient is φ = 31363200.

The previous prime is 68585513. The next prime is 68585521. The reversal of 68585517 is 71558586.

68585517 is a `hidden beast` number, since 68 + 585 + 5 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (68585513) and next prime (68585521).

It is not a de Polignac number, because 68585517 - 22 = 68585513 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68585513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207042 + ... + 207372.

It is an arithmetic number, because the mean of its divisors is an integer number (1450176).

Almost surely, 268585517 is an apocalyptic number.

It is an amenable number.

68585517 is an abundant number, since it is smaller than the sum of its proper divisors (70631379).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68585517 is a wasteful number, since it uses less digits than its factorization.

68585517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 388 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The square root of 68585517 is about 8281.6373381113. The cubic root of 68585517 is about 409.3336727855. Note that the first 3 decimals are identical.

It can be divided in two parts, 68 and 585517, that added together give a palindrome (585585).

The spelling of 68585517 in words is "sixty-eight million, five hundred eighty-five thousand, five hundred seventeen".

Divisors: 1 3 7 9 11 13 21 23 33 39 63 69 77 91 99 117 143 161 207 231 253 273 299 331 429 483 693 759 819 897 993 1001 1287 1449 1771 2093 2277 2317 2691 2979 3003 3289 3641 4303 5313 6279 6951 7613 9009 9867 10923 12909 15939 18837 20853 22839 23023 25487 29601 30121 32769 38727 47333 53291 68517 69069 76461 83743 90363 98969 141999 159873 207207 229383 251229 271089 296907 331331 425997 479619 586201 692783 753687 890721 993993 1088659 1758603 2078349 2981979 3265977 5275809 6235047 7620613 9797931 22861839 68585517