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40141818 = 234372181
BaseRepresentation
bin1001100100100…
…0001111111010
32210112102020000
42121020033322
540234014233
63552213430
7665125353
oct231101772
983472200
1040141818
1120728162
121153a276
138416272
14548cd2a
1537cdd13
hex26483fa

40141818 has 60 divisors (see below), whose sum is σ = 92954862. Its totient is φ = 12947040.

The previous prime is 40141817. The next prime is 40141837. The reversal of 40141818 is 81814104.

40141818 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 37124649 + 3017169 = 6093^2 + 1737^2 .

It is a super-2 number, since 2×401418182 = 3222731104690248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40141791 and 40141800.

It is not an unprimeable number, because it can be changed into a prime (40141817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 221688 + ... + 221868.

Almost surely, 240141818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40141818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46477431).

40141818 is an abundant number, since it is smaller than the sum of its proper divisors (52813044).

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

40141818 is a wasteful number, since it uses less digits than its factorization.

40141818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 40141818 is about 6335.7570976167. The cubic root of 40141818 is about 342.3988882272.

It can be divided in two parts, 4014 and 1818, that added together give a cube (5832 = 183).

The spelling of 40141818 in words is "forty million, one hundred forty-one thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 181 222 333 362 543 666 999 1086 1369 1629 1998 2738 2997 3258 4107 4887 5994 6697 8214 9774 12321 13394 14661 20091 24642 29322 36963 40182 60273 73926 110889 120546 180819 221778 247789 361638 495578 542457 743367 1084914 1486734 2230101 4460202 6690303 13380606 20070909 40141818