Search a number
-
+
38858200 = 2352972003
BaseRepresentation
bin1001010000111…
…0110111011000
32201010012102121
42110032313120
534421430300
63504511024
7651201133
oct224166730
981105377
1038858200
111aa30817
121101b474
138086c24
14523721a
15362881a
hex250edd8

38858200 has 48 divisors (see below), whose sum is σ = 91322280. Its totient is φ = 15375360.

The previous prime is 38858153. The next prime is 38858203. The reversal of 38858200 is 285883.

It is a happy number.

38858200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38858203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18399 + ... + 20401.

Almost surely, 238858200 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 38858200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45661140).

38858200 is an abundant number, since it is smaller than the sum of its proper divisors (52464080).

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

38858200 is a wasteful number, since it uses less digits than its factorization.

38858200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 38858200 is about 6233.6345738261. The cubic root of 38858200 is about 338.7096419379.

The spelling of 38858200 in words is "thirty-eight million, eight hundred fifty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2003 2425 3880 4006 4850 8012 9700 10015 16024 19400 20030 40060 50075 80120 100150 194291 200300 388582 400600 777164 971455 1554328 1942910 3885820 4857275 7771640 9714550 19429100 38858200