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40218144 = 253418939
BaseRepresentation
bin1001100101101…
…0111000100000
32210200021220220
42121122320200
540243440034
63554003040
7665564031
oct231327040
983607826
1040218144
112077a53a
1211576480
138441c25
1454aca88
1537e6749
hex265ae20

40218144 has 24 divisors (see below), whose sum is σ = 105572880. Its totient is φ = 13406016.

The previous prime is 40218137. The next prime is 40218151. The reversal of 40218144 is 44181204.

It is an interprime number because it is at equal distance from previous prime (40218137) and next prime (40218151).

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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 209374 + ... + 209565.

It is an arithmetic number, because the mean of its divisors is an integer number (4398870).

Almost surely, 240218144 is an apocalyptic number.

It is an amenable number.

40218144 is an abundant number, since it is smaller than the sum of its proper divisors (65354736).

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

40218144 is a wasteful number, since it uses less digits than its factorization.

40218144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418952 (or 418944 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40218144 is about 6341.7776687613. Note that the first 3 decimals coincide. The cubic root of 40218144 is about 342.6157642312.

Adding to 40218144 its reverse (44181204), we get a palindrome (84399348).

The spelling of 40218144 in words is "forty million, two hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 418939 837878 1256817 1675756 2513634 3351512 5027268 6703024 10054536 13406048 20109072 40218144