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408018042 = 232129717477
BaseRepresentation
bin11000010100011…
…101110001111010
31001102202110112100
4120110131301322
51313423034132
6104253124230
713053044655
oct3024356172
91042673470
10408018042
1119a351aa3
12b4789676
13666bacc3
143c29089c
1525c4937c
hex1851dc7a

408018042 has 24 divisors (see below), whose sum is σ = 884771316. Its totient is φ = 135893376.

The previous prime is 408018041. The next prime is 408018047. The reversal of 408018042 is 240810804.

It can be written as a sum of positive squares in 2 ways, for example, as 402443721 + 5574321 = 20061^2 + 2361^2 .

It is a junction number, because it is equal to n+sod(n) for n = 408017997 and 408018015.

It is not an unprimeable number, because it can be changed into a prime (408018041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14608 + ... + 32084.

Almost surely, 2408018042 is an apocalyptic number.

408018042 is an abundant number, since it is smaller than the sum of its proper divisors (476753274).

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

408018042 is a wasteful number, since it uses less digits than its factorization.

408018042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18782 (or 18779 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 408018042 is about 20199.4564778362. The cubic root of 408018042 is about 741.6968862885.

Adding to 408018042 its reverse (240810804), we get a palindrome (648828846).

It can be divided in two parts, 4080 and 18042, that added together give a palindrome (22122).

The spelling of 408018042 in words is "four hundred eight million, eighteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 1297 2594 3891 7782 11673 17477 23346 34954 52431 104862 157293 314586 22667669 45335338 68003007 136006014 204009021 408018042