40824 has 56 divisors (see below), whose sum is σ = 131160. Its totient is φ = 11664.

The previous prime is 40823. The next prime is 40829. The reversal of 40824 is 42804.

40824 = T_{97} + T_{98} + ... +
T_{104}.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is an Ulam number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 40797 and 40806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40823) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5829 + ... + 5835.

2^{40824} 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 40824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65580).

40824 is an abundant number, since it is smaller than the sum of its proper divisors (90336).

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

40824 is an equidigital number, since it uses as much as digits as its factorization.

40824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40824 is about 202.0494988858. The cubic root of 40824 is about 34.4327612899.

The spelling of 40824 in words is "forty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2268 2916 3402 4536 5103 5832 6804 10206 13608 20412 40824

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