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81293884 = 22737131599
BaseRepresentation
bin1001101100001…
…11001000111100
312122222011020121
410312013020330
5131302401014
612022224324
72004662260
oct466071074
9178864217
1081293884
1141985331
12232850a4
1313ac42b9
14ab220a0
15720c124
hex4d8723c

81293884 has 48 divisors (see below), whose sum is σ = 168537600. Its totient is φ = 33583680.

The previous prime is 81293851. The next prime is 81293887. The reversal of 81293884 is 48839218.

It is a self number, because there is not a number n which added to its sum of digits gives 81293884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81293887) 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, 135417 + ... + 136015.

It is an arithmetic number, because the mean of its divisors is an integer number (3511200).

Almost surely, 281293884 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 81293884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84268800).

81293884 is an abundant number, since it is smaller than the sum of its proper divisors (87243716).

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

81293884 is a wasteful number, since it uses less digits than its factorization.

81293884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 776 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The square root of 81293884 is about 9016.3121063992. The cubic root of 81293884 is about 433.1975161474.

The spelling of 81293884 in words is "eighty-one million, two hundred ninety-three thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 28 37 74 131 148 259 262 518 524 599 917 1036 1198 1834 2396 3668 4193 4847 8386 9694 16772 19388 22163 33929 44326 67858 78469 88652 135716 155141 156938 310282 313876 549283 620564 1098566 2197132 2903353 5806706 11613412 20323471 40646942 81293884