Search a number
-
+
81458168 = 231121943103
BaseRepresentation
bin1001101101011…
…11001111111000
312200021111121012
410312233033320
5131323130133
612025533052
72006245241
oct466571770
9180244535
1081458168
1141a87800
1223344188
1313b50ccc
14ab65cc8
157240b48
hex4daf3f8

81458168 has 96 divisors (see below), whose sum is σ = 182582400. Its totient is φ = 33929280.

The previous prime is 81458123. The next prime is 81458171. The reversal of 81458168 is 86185418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790805 + ... + 790907.

It is an arithmetic number, because the mean of its divisors is an integer number (1901900).

Almost surely, 281458168 is an apocalyptic number.

81458168 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 81458168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91291200).

81458168 is an abundant number, since it is smaller than the sum of its proper divisors (101124232).

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

81458168 is a wasteful number, since it uses less digits than its factorization.

81458168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its digits is 61440, while the sum is 41.

The square root of 81458168 is about 9025.4178850622. The cubic root of 81458168 is about 433.4891310925.

The spelling of 81458168 in words is "eighty-one million, four hundred fifty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 38 43 44 76 86 88 103 121 152 172 206 209 242 344 412 418 473 484 817 824 836 946 968 1133 1634 1672 1892 1957 2266 2299 3268 3784 3914 4429 4532 4598 5203 6536 7828 8858 8987 9064 9196 10406 12463 15656 17716 17974 18392 20812 21527 24926 35432 35948 41624 43054 48719 49852 71896 84151 86108 97438 98857 99704 168302 172216 194876 197714 236797 336604 389752 395428 473594 535909 673208 790856 925661 947188 1071818 1851322 1894376 2143636 3702644 4287272 7405288 10182271 20364542 40729084 81458168