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415740042 = 23223243661
BaseRepresentation
bin11000110001111…
…011000010001010
31001222021210010100
4120301323002022
51322412140132
6105130430230
713205506044
oct3061730212
91058253110
10415740042
111a3746713
12b7292376
1368192a33
143d300a94
152677237c
hex18c7b08a

415740042 has 36 divisors (see below), whose sum is σ = 941658354. Its totient is φ = 132551760.

The previous prime is 415740023. The next prime is 415740043. The reversal of 415740042 is 240047514.

It can be written as a sum of positive squares in only one way, i.e., 276523641 + 139216401 = 16629^2 + 11799^2 .

It is a junction number, because it is equal to n+sod(n) for n = 415739988 and 415740015.

It is not an unprimeable number, because it can be changed into a prime (415740043) 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 17 ways as a sum of consecutive naturals, for example, 12309 + ... + 31352.

Almost surely, 2415740042 is an apocalyptic number.

415740042 is an abundant number, since it is smaller than the sum of its proper divisors (525918312).

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

415740042 is a wasteful number, since it uses less digits than its factorization.

415740042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43715 (or 43689 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 415740042 is about 20389.7043136971. The cubic root of 415740042 is about 746.3467027869.

Adding to 415740042 its reverse (240047514), we get a palindrome (655787556).

The spelling of 415740042 in words is "four hundred fifteen million, seven hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1587 3174 4761 9522 43661 87322 130983 261966 392949 785898 1004203 2008406 3012609 6025218 9037827 18075654 23096669 46193338 69290007 138580014 207870021 415740042