Search a number
-
+
38388460 = 22511229547
BaseRepresentation
bin1001001001110…
…0001011101100
32200020100001211
42102130023230
534311412320
63450444204
7644203465
oct222341354
980210054
1038388460
111a73a900
1210a33664
137c51186
145153d6c
15358455a
hex249c2ec

38388460 has 72 divisors (see below), whose sum is σ = 91833840. Its totient is φ = 13453440.

The previous prime is 38388443. The next prime is 38388463. The reversal of 38388460 is 6488383.

It is a happy number.

It is a super-2 number, since 2×383884602 = 2947347722343200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38388463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69907 + ... + 70453.

It is an arithmetic number, because the mean of its divisors is an integer number (1275470).

Almost surely, 238388460 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 38388460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45916920).

38388460 is an abundant number, since it is smaller than the sum of its proper divisors (53445380).

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

38388460 is a wasteful number, since it uses less digits than its factorization.

38388460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 38388460 is about 6195.8421542192. The cubic root of 38388460 is about 337.3392668564.

The spelling of 38388460 in words is "thirty-eight million, three hundred eighty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 290 319 484 547 580 605 638 1094 1210 1276 1595 2188 2420 2735 3190 3509 5470 6017 6380 7018 10940 12034 14036 15863 17545 24068 30085 31726 35090 60170 63452 66187 70180 79315 120340 132374 158630 174493 264748 317260 330935 348986 661870 697972 872465 1323740 1744930 1919423 3489860 3838846 7677692 9597115 19194230 38388460