Search a number
-
+
38336922 = 2331397563
BaseRepresentation
bin1001001000111…
…1100110011010
32200010201101000
42102033212122
534303240142
63445405430
7643600311
oct222174632
980121330
1038336922
111a705108
1210a09876
137c33890
14513d278
15357414c
hex248f99a

38336922 has 64 divisors (see below), whose sum is σ = 92856960. Its totient is φ = 11653632.

The previous prime is 38336917. The next prime is 38336933. The reversal of 38336922 is 22963383.

38336922 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 67813 + ... + 68375.

It is an arithmetic number, because the mean of its divisors is an integer number (1450890).

Almost surely, 238336922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38336922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46428480).

38336922 is an abundant number, since it is smaller than the sum of its proper divisors (54520038).

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

38336922 is a wasteful number, since it uses less digits than its factorization.

38336922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 38336922 is about 6191.6816778643. The cubic root of 38336922 is about 337.1882355541.

The spelling of 38336922 in words is "thirty-eight million, three hundred thirty-six thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 97 117 194 234 291 351 563 582 702 873 1126 1261 1689 1746 2522 2619 3378 3783 5067 5238 7319 7566 10134 11349 14638 15201 21957 22698 30402 34047 43914 54611 65871 68094 109222 131742 163833 197613 327666 395226 491499 709943 982998 1419886 1474497 2129829 2948994 4259658 6389487 12778974 19168461 38336922