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38105886 = 23713101691
BaseRepresentation
bin1001000101011…
…1001100011110
32122200222110010
42101113030132
534223342021
63440424050
7641615610
oct221271436
978628403
1038105886
111a567575
1210918026
137b82680
1450bcdb0
15352a976
hex245731e

38105886 has 64 divisors (see below), whose sum is σ = 94864896. Its totient is φ = 9936000.

The previous prime is 38105867. The next prime is 38105911. The reversal of 38105886 is 68850183.

It is a happy number.

38105886 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54801 + ... + 55491.

It is an arithmetic number, because the mean of its divisors is an integer number (1482264).

Almost surely, 238105886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38105886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47432448).

38105886 is an abundant number, since it is smaller than the sum of its proper divisors (56759010).

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

38105886 is a wasteful number, since it uses less digits than its factorization.

38105886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817.

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 38105886 is about 6172.9965170896. The cubic root of 38105886 is about 336.5095196186.

The spelling of 38105886 in words is "thirty-eight million, one hundred five thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 101 182 202 273 303 546 606 691 707 1313 1382 1414 2073 2121 2626 3939 4146 4242 4837 7878 8983 9191 9674 14511 17966 18382 26949 27573 29022 53898 55146 62881 69791 125762 139582 188643 209373 377286 418746 488537 907283 977074 1465611 1814566 2721849 2931222 5443698 6350981 12701962 19052943 38105886