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38868606 = 2337312107
BaseRepresentation
bin1001010001000…
…1011001111110
32201010201201000
42110101121332
534422243411
63505031130
7651243360
oct224213176
981121630
1038868606
111aa38617
12110254a6
13808b89a
14523ad30
15362b956
hex251167e

38868606 has 96 divisors (see below), whose sum is σ = 102954240. Its totient is φ = 10646640.

The previous prime is 38868593. The next prime is 38868629. The reversal of 38868606 is 60686883.

38868606 is a `hidden beast` number, since 38 + 8 + 6 + 8 + 606 = 666.

38868606 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 363205 + ... + 363311.

It is an arithmetic number, because the mean of its divisors is an integer number (1072440).

Almost surely, 238868606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38868606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51477120).

38868606 is an abundant number, since it is smaller than the sum of its proper divisors (64085634).

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

38868606 is a wasteful number, since it uses less digits than its factorization.

38868606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 38868606 is about 6234.4691834991. The cubic root of 38868606 is about 338.7398740636.

The spelling of 38868606 in words is "thirty-eight million, eight hundred sixty-eight thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 107 126 186 189 214 217 279 321 378 434 558 642 651 749 837 961 963 1302 1498 1674 1922 1926 1953 2247 2883 2889 3317 3906 4494 5766 5778 5859 6634 6727 6741 8649 9951 11718 13454 13482 17298 19902 20181 20223 23219 25947 29853 40362 40446 46438 51894 59706 60543 69657 89559 102827 121086 139314 179118 181629 205654 208971 308481 363258 417942 616962 626913 719789 925443 1253826 1439578 1850886 2159367 2776329 4318734 5552658 6478101 12956202 19434303 38868606