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38396106 = 23473691
BaseRepresentation
bin1001001001111…
…0000011001010
32200020201120000
42102132003022
534312133411
63450543430
7644235000
oct222360312
980221500
1038396106
111a745621
1210a37b76
137c547b8
145156a70
153586956
hex249e0ca

38396106 has 80 divisors (see below), whose sum is σ = 100478400. Its totient is φ = 10954440.

The previous prime is 38396041. The next prime is 38396107. The reversal of 38396106 is 60169383.

It is a happy number.

38396106 is a `hidden beast` number, since 3 + 8 + 39 + 610 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (38396107) 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 39 ways as a sum of consecutive naturals, for example, 55221 + ... + 55911.

It is an arithmetic number, because the mean of its divisors is an integer number (1255980).

Almost surely, 238396106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38396106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50239200).

38396106 is an abundant number, since it is smaller than the sum of its proper divisors (62082294).

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

38396106 is an equidigital number, since it uses as much as digits as its factorization.

38396106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 38396106 is about 6196.4591501921. The cubic root of 38396106 is about 337.3616618227.

The spelling of 38396106 in words is "thirty-eight million, three hundred ninety-six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 686 691 882 1029 1134 1323 1382 2058 2073 2646 3087 3969 4146 4837 6174 6219 7938 9261 9674 12438 14511 18522 18657 27783 29022 33859 37314 43533 55566 55971 67718 87066 101577 111942 130599 203154 237013 261198 304731 391797 474026 609462 711039 783594 914193 1422078 1828386 2133117 2742579 4266234 5485158 6399351 12798702 19198053 38396106