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42724004 = 2229533617
BaseRepresentation
bin1010001011111…
…0101010100100
32222101121022112
42202332222210
541414132004
64123420152
71026101531
oct242765244
988347275
1042724004
11221311a4
1212384658
138b0b69b
145961d88
153b3de6e
hex28beaa4

42724004 has 12 divisors (see below), whose sum is σ = 74813004. Its totient is φ = 21348864.

The previous prime is 42723979. The next prime is 42724007. The reversal of 42724004 is 40042724.

42724004 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 13542400 + 29181604 = 3680^2 + 5402^2 .

It is not an unprimeable number, because it can be changed into a prime (42724007) 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 3 ways as a sum of consecutive naturals, for example, 10004 + ... + 13620.

It is an arithmetic number, because the mean of its divisors is an integer number (6234417).

Almost surely, 242724004 is an apocalyptic number.

It is an amenable number.

42724004 is a deficient number, since it is larger than the sum of its proper divisors (32089000).

42724004 is a wasteful number, since it uses less digits than its factorization.

42724004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 42724004 is about 6536.3601491962. The cubic root of 42724004 is about 349.5886432504.

Adding to 42724004 its reverse (40042724), we get a palindrome (82766728).

The spelling of 42724004 in words is "forty-two million, seven hundred twenty-four thousand, four".

Divisors: 1 2 4 2953 3617 5906 7234 11812 14468 10681001 21362002 42724004