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42040052 = 2214970537
BaseRepresentation
bin1010000001011…
…1101011110100
32221002212002222
42200113223310
541230240202
64101021512
71020222515
oct240275364
987085088
1042040052
112180434a
12120b4898
13892c292
145824a0c
153a564a2
hex2817af4

42040052 has 12 divisors (see below), whose sum is σ = 74064900. Its totient is φ = 20878656.

The previous prime is 42040051. The next prime is 42040069. The reversal of 42040052 is 25004024.

42040052 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 23755876 + 18284176 = 4874^2 + 4276^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42040052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42040051) 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, 34673 + ... + 35864.

It is an arithmetic number, because the mean of its divisors is an integer number (6172075).

Almost surely, 242040052 is an apocalyptic number.

It is an amenable number.

42040052 is a deficient number, since it is larger than the sum of its proper divisors (32024848).

42040052 is a wasteful number, since it uses less digits than its factorization.

42040052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70690 (or 70688 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 42040052 is about 6483.8300409557. The cubic root of 42040052 is about 347.7131228916.

Adding to 42040052 its reverse (25004024), we get a palindrome (67044076).

The spelling of 42040052 in words is "forty-two million, forty thousand, fifty-two", and thus it is an eban number.

Divisors: 1 2 4 149 298 596 70537 141074 282148 10510013 21020026 42040052