Search a number
-
+
36856 = 2317271
BaseRepresentation
bin1000111111111000
31212120001
420333320
52134411
6442344
7212311
oct107770
955501
1036856
1125766
12193b4
1313a11
14d608
15adc1
hex8ff8

36856 has 16 divisors (see below), whose sum is σ = 73440. Its totient is φ = 17280.

The previous prime is 36847. The next prime is 36857. The reversal of 36856 is 65863.

It can be divided in two parts, 368 and 56, that added together give a palindrome (424).

36856 is nontrivially palindromic in base 16.

36856 is a nontrivial binomial coefficient, being equal to C(272, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36857) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (4590).

236856 is an apocalyptic number.

36856 is the 271-st triangular number and also the 136-th hexagonal number.

36856 is the 91-st centered nonagonal number.

It is an amenable number.

36856 is a deficient number, since it is larger than the sum of its proper divisors (36584).

36856 is a wasteful number, since it uses less digits than its factorization.

36856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 36856 is about 191.9791655363. The cubic root of 36856 is about 33.2789334902.

The spelling of 36856 in words is "thirty-six thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 17 34 68 136 271 542 1084 2168 4607 9214 18428 36856