Search a number
-
+
42262025 = 52131091193
BaseRepresentation
bin1010000100110…
…1111000001001
32221112010121012
42201031320021
541304341100
64105453305
71022135621
oct241157011
987463535
1042262025
11219460a3
12121a1235
1389a9320
145881881
153a9c135
hex284de09

42262025 has 24 divisors (see below), whose sum is σ = 57001560. Its totient is φ = 30896640.

The previous prime is 42262013. The next prime is 42262037. The reversal of 42262025 is 52026224.

It is an interprime number because it is at equal distance from previous prime (42262013) and next prime (42262037).

It can be written as a sum of positive squares in 12 ways, for example, as 14341369 + 27920656 = 3787^2 + 5284^2 .

It is not a de Polignac number, because 42262025 - 24 = 42262009 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34829 + ... + 36021.

It is an arithmetic number, because the mean of its divisors is an integer number (2375065).

Almost surely, 242262025 is an apocalyptic number.

It is an amenable number.

42262025 is a deficient number, since it is larger than the sum of its proper divisors (14739535).

42262025 is a wasteful number, since it uses less digits than its factorization.

42262025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 42262025 is about 6500.9249341921. The cubic root of 42262025 is about 348.3240282510.

Adding to 42262025 its reverse (52026224), we get a palindrome (94288249).

The spelling of 42262025 in words is "forty-two million, two hundred sixty-two thousand, twenty-five".

Divisors: 1 5 13 25 65 109 325 545 1193 1417 2725 5965 7085 15509 29825 35425 77545 130037 387725 650185 1690481 3250925 8452405 42262025