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45642042 = 2341716573
BaseRepresentation
bin1010111000011…
…1000100111010
310011212212010000
42232013010322
543141021132
64310133430
71062644115
oct256070472
9104785100
1045642042
11238445a6
1213351276
1395c0934
1460c157c
15401887c
hex2b8713a

45642042 has 40 divisors (see below), whose sum is σ = 108294516. Its totient is φ = 14318208.

The previous prime is 45642019. The next prime is 45642073. The reversal of 45642042 is 24024654.

45642042 is a `hidden beast` number, since 456 + 4 + 204 + 2 = 666.

45642042 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 2 ways, for example, as 43046721 + 2595321 = 6561^2 + 1611^2 .

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 = 45641997 and 45642015.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 5533 + ... + 11040.

Almost surely, 245642042 is an apocalyptic number.

45642042 is an abundant number, since it is smaller than the sum of its proper divisors (62652474).

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

45642042 is a wasteful number, since it uses less digits than its factorization.

45642042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16604 (or 16595 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 45642042 is about 6755.8894307115. The cubic root of 45642042 is about 357.3729595714.

Adding to 45642042 its reverse (24024654), we get a palindrome (69666696).

The spelling of 45642042 in words is "forty-five million, six hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 16573 33146 49719 99438 149157 281741 298314 447471 563482 845223 894942 1342413 1690446 2535669 2684826 5071338 7607007 15214014 22821021 45642042