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81385950 = 23522692017
BaseRepresentation
bin1001101100111…
…01100111011110
312200010211112110
410312131213132
5131313322300
612024214450
72005524552
oct466354736
9180124473
1081385950
1141a38518
122330a426
1313b27189
14ab47862
157229550
hex4d9d9de

81385950 has 48 divisors (see below), whose sum is σ = 202687920. Its totient is φ = 21611520.

The previous prime is 81385939. The next prime is 81385963. The reversal of 81385950 is 5958318.

It is a junction number, because it is equal to n+sod(n) for n = 81385899 and 81385908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39342 + ... + 41358.

It is an arithmetic number, because the mean of its divisors is an integer number (4222665).

Almost surely, 281385950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81385950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101343960).

81385950 is an abundant number, since it is smaller than the sum of its proper divisors (121301970).

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

81385950 is a wasteful number, since it uses less digits than its factorization.

81385950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 81385950 is about 9021.4161859433. The cubic root of 81385950 is about 433.3609877157.

The spelling of 81385950 in words is "eighty-one million, three hundred eighty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 269 538 807 1345 1614 2017 2690 4034 4035 6051 6725 8070 10085 12102 13450 20170 20175 30255 40350 50425 60510 100850 151275 302550 542573 1085146 1627719 2712865 3255438 5425730 8138595 13564325 16277190 27128650 40692975 81385950