Search a number
-
+
36338325 = 3524611051
BaseRepresentation
bin1000101010011…
…1101010010101
32112101011210220
42022213222111
533300311300
63334504553
7620604432
oct212475225
975334726
1036338325
111956a581
1210205159
1376b3c8a
144b7cb89
1532cbda0
hex22a7a95

36338325 has 24 divisors (see below), whose sum is σ = 60266976. Its totient is φ = 19320000.

The previous prime is 36338303. The next prime is 36338327. The reversal of 36338325 is 52383363.

36338325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36338325 - 26 = 36338261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36338327) 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 23 ways as a sum of consecutive naturals, for example, 34050 + ... + 35100.

It is an arithmetic number, because the mean of its divisors is an integer number (2511124).

Almost surely, 236338325 is an apocalyptic number.

It is an amenable number.

36338325 is a deficient number, since it is larger than the sum of its proper divisors (23928651).

36338325 is a wasteful number, since it uses less digits than its factorization.

36338325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1520 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 36338325 is about 6028.1278188174. The cubic root of 36338325 is about 331.2238759509.

It can be divided in two parts, 36338 and 325, that added together give a palindrome (36663).

The spelling of 36338325 in words is "thirty-six million, three hundred thirty-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 75 461 1051 1383 2305 3153 5255 6915 11525 15765 26275 34575 78825 484511 1453533 2422555 7267665 12112775 36338325