Search a number
-
+
38105868 = 22319971723
BaseRepresentation
bin1001000101011…
…1001100001100
32122200222102110
42101113030030
534223341433
63440424020
7641615553
oct221271414
978628373
1038105868
111a567559
1210918010
137b82668
1450bcd9a
15352a963
hex245730c

38105868 has 48 divisors (see below), whose sum is σ = 94613120. Its totient is φ = 11902464.

The previous prime is 38105867. The next prime is 38105911. The reversal of 38105868 is 86850183.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (38105863) 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 15 ways as a sum of consecutive naturals, for example, 21255 + ... + 22977.

Almost surely, 238105868 is an apocalyptic number.

38105868 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38105868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47306560).

38105868 is an abundant number, since it is smaller than the sum of its proper divisors (56507252).

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

38105868 is a wasteful number, since it uses less digits than its factorization.

38105868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1844 counting only the distinct ones).

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

The square root of 38105868 is about 6172.9950591265. The cubic root of 38105868 is about 336.5094666332.

The spelling of 38105868 in words is "thirty-eight million, one hundred five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 194 228 291 388 582 1164 1723 1843 3446 3686 5169 5529 6892 7372 10338 11058 20676 22116 32737 65474 98211 130948 167131 196422 334262 392844 501393 668524 1002786 2005572 3175489 6350978 9526467 12701956 19052934 38105868