Search a number
-
+
81098928 = 2433227827
BaseRepresentation
bin1001101010101…
…11100010110000
312122121020211000
410311113202300
5131230131203
612014122000
72003221011
oct465274260
9178536730
1081098928
1141861909
12231b0300
1313a56641
14aab1008
1571be4a3
hex4d578b0

81098928 has 80 divisors (see below), whose sum is σ = 234092160. Its totient is φ = 26881344.

The previous prime is 81098911. The next prime is 81098987. The reversal of 81098928 is 82989018.

It is a super-2 number, since 2×810989282 = 13154072245498368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97651 + ... + 98477.

It is an arithmetic number, because the mean of its divisors is an integer number (2926152).

Almost surely, 281098928 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 81098928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117046080).

81098928 is an abundant number, since it is smaller than the sum of its proper divisors (152993232).

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

81098928 is a wasteful number, since it uses less digits than its factorization.

81098928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 81098928 is about 9005.4943229120. The cubic root of 81098928 is about 432.8509461771.

The spelling of 81098928 in words is "eighty-one million, ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 227 432 454 681 827 908 1362 1654 1816 2043 2481 2724 3308 3632 4086 4962 5448 6129 6616 7443 8172 9924 10896 12258 13232 14886 16344 19848 22329 24516 29772 32688 39696 44658 49032 59544 89316 98064 119088 178632 187729 357264 375458 563187 750916 1126374 1501832 1689561 2252748 3003664 3379122 4505496 5068683 6758244 9010992 10137366 13516488 20274732 27032976 40549464 81098928