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36738 = 23213157
BaseRepresentation
bin1000111110000010
31212101200
420332002
52133423
6442030
7212052
oct107602
955350
1036738
1125669
1219316
1313950
14d562
15ad43
hex8f82

36738 has 24 divisors (see below), whose sum is σ = 86268. Its totient is φ = 11232.

The previous prime is 36721. The next prime is 36739. The reversal of 36738 is 83763.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33489 + 3249 = 183^2 + 57^2 .

It is a Curzon number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36738.

It is not an unprimeable number, because it can be changed into a prime (36739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156 + ... + 312.

236738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43134).

36738 is an abundant number, since it is smaller than the sum of its proper divisors (49530).

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

36738 is a wasteful number, since it uses less digits than its factorization.

36738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 175 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 36738 is about 191.6715941396. The cubic root of 36738 is about 33.2433796909.

The spelling of 36738 in words is "thirty-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 157 234 314 471 942 1413 2041 2826 4082 6123 12246 18369 36738