Search a number
-
+
36238832 = 2472172719
BaseRepresentation
bin1000101000111…
…1010111110000
32112012010022222
42022033113300
533234120312
63332420212
7620011400
oct212172760
975163288
1036238832
1119501853
1210177668
13767a8c6
144b54800
1532ac672
hex228f5f0

36238832 has 60 divisors (see below), whose sum is σ = 86512320. Its totient is φ = 14611968.

The previous prime is 36238817. The next prime is 36238841. The reversal of 36238832 is 23883263.

36238832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36238792 and 36238801.

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, 11969 + ... + 14687.

It is an arithmetic number, because the mean of its divisors is an integer number (1441872).

Almost surely, 236238832 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 36238832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43256160).

36238832 is an abundant number, since it is smaller than the sum of its proper divisors (50273488).

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

36238832 is a wasteful number, since it uses less digits than its factorization.

36238832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2745 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 36238832 is about 6019.8697660331. The cubic root of 36238832 is about 330.9213067034.

The spelling of 36238832 in words is "thirty-six million, two hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 2719 3332 5438 6664 10876 13328 19033 21752 38066 43504 46223 76132 92446 133231 152264 184892 266462 304528 323561 369784 532924 647122 739568 1065848 1294244 2131696 2264927 2588488 4529854 5176976 9059708 18119416 36238832