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81364050 = 23252473847
BaseRepresentation
bin1001101100110…
…00010001010010
312200002201111100
410312120101102
5131312122200
612023525230
72005403655
oct466302122
9180081440
1081364050
1141a23019
12232b9816
1313b1a211
14ab3d89c
157222d00
hex4d98452

81364050 has 72 divisors (see below), whose sum is σ = 223307136. Its totient is φ = 21229920.

The previous prime is 81364043. The next prime is 81364051. The reversal of 81364050 is 5046318.

81364050 is a `hidden beast` number, since 8 + 13 + 640 + 5 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (81364051) 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 35 ways as a sum of consecutive naturals, for example, 19227 + ... + 23073.

It is an arithmetic number, because the mean of its divisors is an integer number (3101488).

Almost surely, 281364050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81364050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111653568).

81364050 is an abundant number, since it is smaller than the sum of its proper divisors (141943086).

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

81364050 is a wasteful number, since it uses less digits than its factorization.

81364050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 81364050 is about 9020.2023258905. The cubic root of 81364050 is about 433.3221134505.

The spelling of 81364050 in words is "eighty-one million, three hundred sixty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 47 50 75 90 94 141 150 225 235 282 423 450 470 705 846 1175 1410 2115 2350 3525 3847 4230 7050 7694 10575 11541 19235 21150 23082 34623 38470 57705 69246 96175 115410 173115 180809 192350 288525 346230 361618 542427 577050 865575 904045 1084854 1627281 1731150 1808090 2712135 3254562 4520225 5424270 8136405 9040450 13560675 16272810 27121350 40682025 81364050