Search a number
-
+
42564126 = 2311644911
BaseRepresentation
bin1010001001011…
…1101000011110
32222002111000010
42202113220132
541344023001
64120144050
71024534443
oct242275036
988074003
1042564126
1122032070
1212308026
138a83997
14591d9ca
153b0b8d6
hex2897a1e

42564126 has 16 divisors (see below), whose sum is σ = 92867328. Its totient is φ = 12898200.

The previous prime is 42564121. The next prime is 42564131. The reversal of 42564126 is 62146524.

42564126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42564121) and next prime (42564131).

It is a junction number, because it is equal to n+sod(n) for n = 42564093 and 42564102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42564121) 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 7 ways as a sum of consecutive naturals, for example, 322390 + ... + 322521.

It is an arithmetic number, because the mean of its divisors is an integer number (5804208).

Almost surely, 242564126 is an apocalyptic number.

42564126 is an abundant number, since it is smaller than the sum of its proper divisors (50303202).

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

42564126 is a wasteful number, since it uses less digits than its factorization.

42564126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644927.

The product of its digits is 11520, while the sum is 30.

The square root of 42564126 is about 6524.1187910706. The cubic root of 42564126 is about 349.1520315831.

The spelling of 42564126 in words is "forty-two million, five hundred sixty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 644911 1289822 1934733 3869466 7094021 14188042 21282063 42564126