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40836 = 2234183
BaseRepresentation
bin1001111110000100
32002000110
421332010
52301321
6513020
7230025
oct117604
962013
1040836
1128754
121b770
1315783
1410c4c
15c176
hex9f84

40836 has 24 divisors (see below), whose sum is σ = 98784. Its totient is φ = 13120.

The previous prime is 40829. The next prime is 40841. The reversal of 40836 is 63804.

It can be divided in two parts, 408 and 36, that added together give a palindrome (444).

40836 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40836.

It is an unprimeable number.

40836 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 7 ways as a sum of consecutive naturals, for example, 451 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (4116).

240836 is an apocalyptic number.

It is an amenable number.

40836 is an abundant number, since it is smaller than the sum of its proper divisors (57948).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49392).

40836 is a wasteful number, since it uses less digits than its factorization.

40836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40836 is about 202.0791923974. The cubic root of 40836 is about 34.4361347357.

The spelling of 40836 in words is "forty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 41 82 83 123 164 166 246 249 332 492 498 996 3403 6806 10209 13612 20418 40836