Search a number
-
+
36128752 = 24111311567
BaseRepresentation
bin1000100111010…
…0011111110000
32111222112022221
42021310133300
533222110002
63330210424
7616042432
oct211643760
974875287
1036128752
1119437080
1210123a14
13763c77a
144b26652
153289c37
hex22747f0

36128752 has 40 divisors (see below), whose sum is σ = 76995072. Its totient is φ = 16286400.

The previous prime is 36128737. The next prime is 36128753. The reversal of 36128752 is 25782163.

It is a happy number.

36128752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36128753) 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, 22273 + ... + 23839.

Almost surely, 236128752 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 36128752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536).

36128752 is an abundant number, since it is smaller than the sum of its proper divisors (40866320).

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

36128752 is a wasteful number, since it uses less digits than its factorization.

36128752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1711 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 36128752 is about 6010.7197572337. The cubic root of 36128752 is about 330.5858951896.

The spelling of 36128752 in words is "thirty-six million, one hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 524 1048 1441 1567 2096 2882 3134 5764 6268 11528 12536 17237 23056 25072 34474 68948 137896 205277 275792 410554 821108 1642216 2258047 3284432 4516094 9032188 18064376 36128752