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81111008 = 25111311759
BaseRepresentation
bin1001101010110…
…10011111100000
312122121212101102
410311122133200
5131231023013
612014253532
72003301146
oct465323740
9178555342
1081111008
114186a9a0
12231b72a8
1313a5bca4
14aab5596
1571c2d58
hex4d5a7e0

81111008 has 48 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 36566400.

The previous prime is 81110989. The next prime is 81111011. The reversal of 81111008 is 80011118.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45233 + ... + 46991.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 281111008 is an apocalyptic number.

81111008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81111008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

81111008 is an abundant number, since it is smaller than the sum of its proper divisors (94522912).

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

81111008 is a wasteful number, since it uses less digits than its factorization.

81111008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

The square root of 81111008 is about 9006.1649995989. The cubic root of 81111008 is about 432.8724367194.

It can be divided in two parts, 8111 and 1008, that added together give a palindrome (9119).

The spelling of 81111008 in words is "eighty-one million, one hundred eleven thousand, eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 262 352 524 1048 1441 1759 2096 2882 3518 4192 5764 7036 11528 14072 19349 23056 28144 38698 46112 56288 77396 154792 230429 309584 460858 619168 921716 1843432 2534719 3686864 5069438 7373728 10138876 20277752 40555504 81111008