Search a number
-
+
38112700 = 22521273001
BaseRepresentation
bin1001000101100…
…0110110111100
32122201022210111
42101120312330
534224101300
63440515404
7641644513
oct221306674
978638714
1038112700
111a5716aa
121091bb64
137b857c2
1450c167a
15352c9ba
hex2458dbc

38112700 has 36 divisors (see below), whose sum is σ = 83383552. Its totient is φ = 15120000.

The previous prime is 38112677. The next prime is 38112743. The reversal of 38112700 is 721183.

38112700 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 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 11 ways as a sum of consecutive naturals, for example, 11200 + ... + 14200.

Almost surely, 238112700 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 38112700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41691776).

38112700 is an abundant number, since it is smaller than the sum of its proper divisors (45270852).

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

38112700 is a wasteful number, since it uses less digits than its factorization.

38112700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 38112700 is about 6173.5484123800. The cubic root of 38112700 is about 336.5295763557.

Adding to 38112700 its reverse (721183), we get a palindrome (38833883).

The spelling of 38112700 in words is "thirty-eight million, one hundred twelve thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3001 3175 6002 6350 12004 12700 15005 30010 60020 75025 150050 300100 381127 762254 1524508 1905635 3811270 7622540 9528175 19056350 38112700