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81348456 = 23374391103
BaseRepresentation
bin1001101100101…
…00011101101000
312200001221002210
410312110131220
5131311122311
612023325120
72005310340
oct466243550
9180057083
1081348456
1141a12332
12232b07a0
1313b130a7
14ab37d20
15721d3a6
hex4d94768

81348456 has 64 divisors (see below), whose sum is σ = 233164800. Its totient is φ = 23168448.

The previous prime is 81348439. The next prime is 81348457. The reversal of 81348456 is 65484318.

It is not an unprimeable number, because it can be changed into a prime (81348457) by changing a digit.

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, 73201 + ... + 74303.

It is an arithmetic number, because the mean of its divisors is an integer number (3643200).

Almost surely, 281348456 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 81348456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116582400).

81348456 is an abundant number, since it is smaller than the sum of its proper divisors (151816344).

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

81348456 is a wasteful number, since it uses less digits than its factorization.

81348456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1554 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 81348456 is about 9019.3378914419. The cubic root of 81348456 is about 433.2944285914.

The spelling of 81348456 in words is "eighty-one million, three hundred forty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 439 878 1103 1317 1756 2206 2634 3073 3309 3512 4412 5268 6146 6618 7721 8824 9219 10536 12292 13236 15442 18438 23163 24584 26472 30884 36876 46326 61768 73752 92652 185304 484217 968434 1452651 1936868 2905302 3389519 3873736 5810604 6779038 10168557 11621208 13558076 20337114 27116152 40674228 81348456