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81319776 = 2534767269
BaseRepresentation
bin1001101100011…
…01011101100000
312200000110202120
410312031131200
5131304213101
612022544240
72005130616
oct466153540
9180013676
1081319776
11419a282a
1223298080
1313b03015
14ab2b6b6
157214b36
hex4d8d760

81319776 has 96 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 26036736.

The previous prime is 81319757. The next prime is 81319793. The reversal of 81319776 is 67791318.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×813197762 = 13225811937380352, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 302170 + ... + 302438.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360).

Almost surely, 281319776 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 81319776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

81319776 is an abundant number, since it is smaller than the sum of its proper divisors (140762784).

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

81319776 is a wasteful number, since it uses less digits than its factorization.

81319776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 81319776 is about 9017.7478341324. The cubic root of 81319776 is about 433.2435022206.

The spelling of 81319776 in words is "eighty-one million, three hundred nineteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 67 94 96 134 141 188 201 268 269 282 376 402 536 538 564 752 804 807 1072 1076 1128 1504 1608 1614 2144 2152 2256 3149 3216 3228 4304 4512 6298 6432 6456 8608 9447 12596 12643 12912 18023 18894 25192 25286 25824 36046 37788 37929 50384 50572 54069 72092 75576 75858 100768 101144 108138 144184 151152 151716 202288 216276 288368 302304 303432 404576 432552 576736 606864 847081 865104 1213728 1694162 1730208 2541243 3388324 5082486 6776648 10164972 13553296 20329944 27106592 40659888 81319776