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81038724 = 223131921439
BaseRepresentation
bin1001101010010…
…00110110000100
312122111012020020
410311020312010
5131221214344
612012535140
72002550334
oct465106604
9178435206
1081038724
1141820658
12231814b0
1313a35110
14aa970c4
1571ab719
hex4d48d84

81038724 has 72 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 23606208.

The previous prime is 81038723. The next prime is 81038767. The reversal of 81038724 is 42783018.

81038724 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

81038724 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (81038723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55597 + ... + 57035.

It is an arithmetic number, because the mean of its divisors is an integer number (2987040).

Almost surely, 281038724 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 81038724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

81038724 is an abundant number, since it is smaller than the sum of its proper divisors (134028156).

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

81038724 is a wasteful number, since it uses less digits than its factorization.

81038724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 81038724 is about 9002.1510762706. The cubic root of 81038724 is about 432.7438103202.

The spelling of 81038724 in words is "eighty-one million, thirty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 722 741 988 1083 1439 1444 1482 2166 2878 2964 4317 4332 4693 5756 8634 9386 14079 17268 18707 18772 27341 28158 37414 54682 56121 56316 74828 82023 109364 112242 164046 224484 328092 355433 519479 710866 1038958 1066299 1421732 1558437 2077916 2132598 3116874 4265196 6233748 6753227 13506454 20259681 27012908 40519362 81038724