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85181616 = 24321345503
BaseRepresentation
bin1010001001111…
…00010010110000
312221021200012200
411010330102300
5133301302431
612241423200
72053013622
oct504742260
9187250180
1085181616
11440a0233
122463ab00
1314855a30
14b454c12
157728ee6
hex513c4b0

85181616 has 60 divisors (see below), whose sum is σ = 256733568. Its totient is φ = 26209152.

The previous prime is 85181587. The next prime is 85181639. The reversal of 85181616 is 61618158.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20880 + ... + 24623.

Almost surely, 285181616 is an apocalyptic number.

It is an amenable number.

85181616 is an abundant number, since it is smaller than the sum of its proper divisors (171551952).

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

85181616 is a wasteful number, since it uses less digits than its factorization.

85181616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45530 (or 45521 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 85181616 is about 9229.3887121521. The cubic root of 85181616 is about 439.9958952785.

The spelling of 85181616 in words is "eighty-five million, one hundred eighty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 45503 91006 136509 182012 273018 364024 409527 546036 591539 728048 819054 1092072 1183078 1638108 1774617 2184144 2366156 3276216 3549234 4732312 5323851 6552432 7098468 9464624 10647702 14196936 21295404 28393872 42590808 85181616