Search a number
-
+
36506232 = 23327113641
BaseRepresentation
bin1000101101000…
…0101001111000
32112200201010200
42023100221320
533321144412
63342242200
7622204110
oct213205170
975621120
1036506232
1119674744
1210286360
137742529
144bc4040
1533119dc
hex22d0a78

36506232 has 96 divisors (see below), whose sum is σ = 114173280. Its totient is φ = 10321920.

The previous prime is 36506227. The next prime is 36506237. The reversal of 36506232 is 23260563.

36506232 is a `hidden beast` number, since 3 + 650 + 6 + 2 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (36506227) and next prime (36506237).

It is a junction number, because it is equal to n+sod(n) for n = 36506196 and 36506205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36506237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56632 + ... + 57272.

It is an arithmetic number, because the mean of its divisors is an integer number (1189305).

Almost surely, 236506232 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 36506232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57086640).

36506232 is an abundant number, since it is smaller than the sum of its proper divisors (77667048).

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

36506232 is a wasteful number, since it uses less digits than its factorization.

36506232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36506232 is about 6042.0387287736. The cubic root of 36506232 is about 331.7332497093.

Adding to 36506232 its reverse (23260563), we get a palindrome (59766795).

The spelling of 36506232 in words is "thirty-six million, five hundred six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 504 641 678 791 904 1017 1282 1356 1582 1923 2034 2373 2564 2712 3164 3846 4068 4487 4746 5128 5769 6328 7119 7692 8136 8974 9492 11538 13461 14238 15384 17948 18984 23076 26922 28476 35896 40383 46152 53844 56952 72433 80766 107688 144866 161532 217299 289732 323064 434598 507031 579464 651897 869196 1014062 1303794 1521093 1738392 2028124 2607588 3042186 4056248 4563279 5215176 6084372 9126558 12168744 18253116 36506232