Search a number
-
+
81114816 = 2632411753
BaseRepresentation
bin1001101010110…
…11011011000000
312122122001121110
410311123123000
5131231133231
612014323320
72003315226
oct465333300
9178561543
1081114816
1141872842
12231b9540
1313a60943
14aab6b16
1571c4046
hex4d5b6c0

81114816 has 56 divisors (see below), whose sum is σ = 215629744. Its totient is φ = 26910720.

The previous prime is 81114799. The next prime is 81114829. The reversal of 81114816 is 61841118.

It is a super-2 number, since 2×811148162 = 13159226749427712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 45396 + ... + 47148.

Almost surely, 281114816 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 81114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107814872).

81114816 is an abundant number, since it is smaller than the sum of its proper divisors (134514928).

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

81114816 is a wasteful number, since it uses less digits than its factorization.

81114816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1999 counting only the distinct ones).

The product of its digits is 1536, while the sum is 30.

The square root of 81114816 is about 9006.3764078568. The cubic root of 81114816 is about 432.8792107791.

The spelling of 81114816 in words is "eighty-one million, one hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 723 964 1446 1753 1928 2892 3506 3856 5259 5784 7012 7712 10518 11568 14024 15424 21036 23136 28048 42072 46272 56096 84144 112192 168288 336576 422473 844946 1267419 1689892 2534838 3379784 5069676 6759568 10139352 13519136 20278704 27038272 40557408 81114816