Search a number
-
+
36425300 = 2252432197
BaseRepresentation
bin1000101011110…
…0111001010100
32112112121010012
42022330321110
533311102200
63340415352
7621416132
oct212747124
975477105
1036425300
111961995a
1210247558
137714742
144ba2752
1532e7a35
hex22bce54

36425300 has 54 divisors (see below), whose sum is σ = 81334638. Its totient is φ = 14159040.

The previous prime is 36425281. The next prime is 36425303. The reversal of 36425300 is 352463.

36425300 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 3 ways, for example, as 10679824 + 25745476 = 3268^2 + 5074^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36425303) 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 17 ways as a sum of consecutive naturals, for example, 184802 + ... + 184998.

It is an arithmetic number, because the mean of its divisors is an integer number (1506197).

Almost surely, 236425300 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 36425300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40667319).

36425300 is an abundant number, since it is smaller than the sum of its proper divisors (44909338).

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

36425300 is a wasteful number, since it uses less digits than its factorization.

36425300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 36425300 is about 6035.3376044758. The cubic root of 36425300 is about 331.4879244745.

Adding to 36425300 its reverse (352463), we get a palindrome (36777763).

The spelling of 36425300 in words is "thirty-six million, four hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 197 215 394 430 788 860 985 1075 1849 1970 2150 3698 3940 4300 4925 7396 8471 9245 9850 16942 18490 19700 33884 36980 42355 46225 84710 92450 169420 184900 211775 364253 423550 728506 847100 1457012 1821265 3642530 7285060 9106325 18212650 36425300