Search a number
-
+
38781864 = 233211232129
BaseRepresentation
bin1001001111110…
…0001110101000
32200222022201100
42103330032220
534412004424
63503121400
7650432442
oct223741650
980868640
1038781864
111a989430
1210ba3260
13805b264
145217492
153610dc9
hex24fc3a8

38781864 has 96 divisors (see below), whose sum is σ = 119620800. Its totient is φ = 11235840.

The previous prime is 38781857. The next prime is 38781877. The reversal of 38781864 is 46818783.

38781864 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 23 ways as a sum of consecutive naturals, for example, 17152 + ... + 19280.

It is an arithmetic number, because the mean of its divisors is an integer number (1246050).

Almost surely, 238781864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38781864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59810400).

38781864 is an abundant number, since it is smaller than the sum of its proper divisors (80838936).

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

38781864 is a wasteful number, since it uses less digits than its factorization.

38781864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2168 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 38781864 is about 6227.5086511381. The cubic root of 38781864 is about 338.4877008914.

The spelling of 38781864 in words is "thirty-eight million, seven hundred eighty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1518 1656 2024 2129 2277 3036 4258 4554 6072 6387 8516 9108 12774 17032 18216 19161 23419 25548 38322 46838 48967 51096 70257 76644 93676 97934 140514 146901 153288 187352 195868 210771 281028 293802 391736 421542 440703 538637 562056 587604 843084 881406 1077274 1175208 1615911 1686168 1762812 2154548 3231822 3525624 4309096 4847733 6463644 9695466 12927288 19390932 38781864