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85877316 = 223273110993
BaseRepresentation
bin1010001111001…
…10001001000100
312222121000112100
411013212021010
5133441033231
612304352100
72061642120
oct507461104
9188530470
1085877316
1144525998
1224915630
1314a3a5a5
14b596580
1578151e6
hex51e6244

85877316 has 72 divisors (see below), whose sum is σ = 256116224. Its totient is φ = 23742720.

The previous prime is 85877303. The next prime is 85877357. The reversal of 85877316 is 61377858.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2316 + ... + 13308.

Almost surely, 285877316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85877316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128058112).

85877316 is an abundant number, since it is smaller than the sum of its proper divisors (170238908).

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

85877316 is a wasteful number, since it uses less digits than its factorization.

85877316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11041 (or 11036 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 85877316 is about 9267.0014567820. The cubic root of 85877316 is about 441.1905018659.

The spelling of 85877316 in words is "eighty-five million, eight hundred seventy-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 10993 21986 32979 43972 65958 76951 98937 131916 153902 197874 230853 307804 340783 395748 461706 681566 692559 923412 1022349 1363132 1385118 2044698 2385481 2770236 3067047 4089396 4770962 6134094 7156443 9541924 12268188 14312886 21469329 28625772 42938658 85877316