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36652 = 22721117
BaseRepresentation
bin1000111100101100
31212021111
420330230
52133102
6441404
7211600
oct107454
955244
1036652
11255a0
1219264
13138b5
14d500
15acd7
hex8f2c

36652 has 36 divisors (see below), whose sum is σ = 86184. Its totient is φ = 13440.

The previous prime is 36643. The next prime is 36653. The reversal of 36652 is 25663.

36652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (36653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2148 + ... + 2164.

It is an arithmetic number, because the mean of its divisors is an integer number (2394).

236652 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 36652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092).

36652 is an abundant number, since it is smaller than the sum of its proper divisors (49532).

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

36652 is a wasteful number, since it uses less digits than its factorization.

36652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 37 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 36652 is about 191.4471206365. The cubic root of 36652 is about 33.2174196097.

The spelling of 36652 in words is "thirty-six thousand, six hundred fifty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 154 187 196 238 308 374 476 539 748 833 1078 1309 1666 2156 2618 3332 5236 9163 18326 36652