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42350253 = 31141113277
BaseRepresentation
bin1010000110001…
…1011010101101
32221200121121220
42201203122231
541320202003
64111413553
71022654061
oct241433255
987617556
1042350253
11219a6410
12122242b9
138a0a52a
1458a5aa1
153ab8353
hex28636ad

42350253 has 32 divisors (see below), whose sum is σ = 63891072. Its totient is φ = 24729600.

The previous prime is 42350251. The next prime is 42350261. The reversal of 42350253 is 35205324.

42350253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42350253 - 21 = 42350251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42350251) 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 31 ways as a sum of consecutive naturals, for example, 152751 + ... + 153027.

It is an arithmetic number, because the mean of its divisors is an integer number (1996596).

Almost surely, 242350253 is an apocalyptic number.

It is an amenable number.

42350253 is a deficient number, since it is larger than the sum of its proper divisors (21540819).

42350253 is a wasteful number, since it uses less digits than its factorization.

42350253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 42350253 is about 6507.7071999284. The cubic root of 42350253 is about 348.5662517867.

Adding to 42350253 its reverse (35205324), we get a palindrome (77555577).

Subtracting from 42350253 its reverse (35205324), we obtain a square (7144929 = 26732).

The spelling of 42350253 in words is "forty-two million, three hundred fifty thousand, two hundred fifty-three".

Divisors: 1 3 11 33 41 113 123 277 339 451 831 1243 1353 3047 3729 4633 9141 11357 13899 31301 34071 50963 93903 124927 152889 344311 374781 1032933 1283341 3850023 14116751 42350253