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81863208 = 23327592753
BaseRepresentation
bin1001110000100…
…10001000101000
312201001002012200
410320102020220
5131424110313
612042340200
72012553150
oct470221050
9181032180
1081863208
1142234049
12234ba660
1313c6348b
14ac2d760
1572c0b73
hex4e12228

81863208 has 96 divisors (see below), whose sum is σ = 257774400. Its totient is φ = 22984704.

The previous prime is 81863161. The next prime is 81863209. The reversal of 81863208 is 80236818.

81863208 is a `hidden beast` number, since 8 + 18 + 632 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81863209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28360 + ... + 31112.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 281863208 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 81863208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

81863208 is an abundant number, since it is smaller than the sum of its proper divisors (175911192).

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

81863208 is a wasteful number, since it uses less digits than its factorization.

81863208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 81863208 is about 9047.8289108493. The cubic root of 81863208 is about 434.2064326898.

The spelling of 81863208 in words is "eighty-one million, eight hundred sixty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 118 126 168 177 236 252 354 413 472 504 531 708 826 1062 1239 1416 1652 2124 2478 2753 3304 3717 4248 4956 5506 7434 8259 9912 11012 14868 16518 19271 22024 24777 29736 33036 38542 49554 57813 66072 77084 99108 115626 154168 162427 173439 198216 231252 324854 346878 462504 487281 649708 693756 974562 1136989 1299416 1387512 1461843 1949124 2273978 2923686 3410967 3898248 4547956 5847372 6821934 9095912 10232901 11694744 13643868 20465802 27287736 40931604 81863208