Search a number
-
+
36241000 = 235336241
BaseRepresentation
bin1000101000111…
…1111001101000
32112012020022021
42022033321220
533234203000
63332434224
7620020615
oct212177150
975166267
1036241000
1119503444
1210178974
13767b8a3
144b5550c
1532ad11a
hex228fe68

36241000 has 32 divisors (see below), whose sum is σ = 84806280. Its totient is φ = 14496000.

The previous prime is 36240989. The next prime is 36241001. The reversal of 36241000 is 14263.

36241000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1737124 + 34503876 = 1318^2 + 5874^2 .

It is not an unprimeable number, because it can be changed into a prime (36241001) 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 7 ways as a sum of consecutive naturals, for example, 17121 + ... + 19120.

Almost surely, 236241000 is an apocalyptic number.

It is an amenable number.

36241000 is an abundant number, since it is smaller than the sum of its proper divisors (48565280).

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

36241000 is a wasteful number, since it uses less digits than its factorization.

36241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36262 (or 36248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 36241000 is about 6020.0498336808. The cubic root of 36241000 is about 330.9279057304.

Adding to 36241000 its reverse (14263), we get a palindrome (36255263).

It can be divided in two parts, 3624 and 1000, that added together give a square (4624 = 682).

The spelling of 36241000 in words is "thirty-six million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 36241 72482 144964 181205 289928 362410 724820 906025 1449640 1812050 3624100 4530125 7248200 9060250 18120500 36241000