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42904040 = 2354126161
BaseRepresentation
bin1010001110101…
…0100111101000
32222201202021112
42203222213220
541440412130
64131325452
71030451444
oct243524750
988652245
1042904040
1122244493
1212450888
138b7260a
1459ab824
153b77495
hex28ea9e8

42904040 has 32 divisors (see below), whose sum is σ = 98892360. Its totient is φ = 16742400.

The previous prime is 42904027. The next prime is 42904129. The reversal of 42904040 is 4040924.

It is a happy number.

42904040 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 4 ways, for example, as 17522596 + 25381444 = 4186^2 + 5038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42903997 and 42904015.

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 7 ways as a sum of consecutive naturals, for example, 11441 + ... + 14720.

Almost surely, 242904040 is an apocalyptic number.

42904040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42904040 is an abundant number, since it is smaller than the sum of its proper divisors (55988320).

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

42904040 is a wasteful number, since it uses less digits than its factorization.

42904040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26213 (or 26209 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 42904040 is about 6550.1175561970. The cubic root of 42904040 is about 350.0790025742.

Adding to 42904040 its reverse (4040924), we get a palindrome (46944964).

The spelling of 42904040 in words is "forty-two million, nine hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 26161 52322 104644 130805 209288 261610 523220 1046440 1072601 2145202 4290404 5363005 8580808 10726010 21452020 42904040