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81386016 = 2535914369
BaseRepresentation
bin1001101100111…
…01101000100000
312200010211121220
410312131220200
5131313323031
612024215040
72005525005
oct466355040
9180124556
1081386016
1141a38578
122330a480
1313b2720a
14ab478ac
157229596
hex4d9da20

81386016 has 48 divisors (see below), whose sum is σ = 217274400. Its totient is φ = 26667008.

The previous prime is 81386003. The next prime is 81386023. The reversal of 81386016 is 61068318.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1521 + ... + 12848.

It is an arithmetic number, because the mean of its divisors is an integer number (4526550).

Almost surely, 281386016 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 81386016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108637200).

81386016 is an abundant number, since it is smaller than the sum of its proper divisors (135888384).

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

81386016 is a wasteful number, since it uses less digits than its factorization.

81386016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14441 (or 14433 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 81386016 is about 9021.4198439048. The cubic root of 81386016 is about 433.3611048605.

The spelling of 81386016 in words is "eighty-one million, three hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 14369 28738 43107 57476 86214 114952 172428 229904 344856 459808 689712 847771 1379424 1695542 2543313 3391084 5086626 6782168 10173252 13564336 20346504 27128672 40693008 81386016