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40536 = 2332563
BaseRepresentation
bin1001111001011000
32001121100
421321120
52244121
6511400
7226116
oct117130
961540
1040536
1128501
121b560
13155b2
1410ab6
15c026
hex9e58

40536 has 24 divisors (see below), whose sum is σ = 109980. Its totient is φ = 13488.

The previous prime is 40531. The next prime is 40543. The reversal of 40536 is 63504.

It is a happy number.

40536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40531) by changing a digit.

40536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210 + ... + 353.

240536 is an apocalyptic number.

It is an amenable number.

40536 is an abundant number, since it is smaller than the sum of its proper divisors (69444).

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

40536 is a wasteful number, since it uses less digits than its factorization.

40536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 40536 is about 201.3355408268. The cubic root of 40536 is about 34.3515995009.

It can be divided in two parts, 405 and 36, that added together give a square (441 = 212).

The spelling of 40536 in words is "forty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 563 1126 1689 2252 3378 4504 5067 6756 10134 13512 20268 40536