Search a number
-
+
40526253 = 32232943157
BaseRepresentation
bin1001101010011…
…0000110101101
32211020221120100
42122212012231
540333320003
64004341313
71001316225
oct232460655
984227510
1040526253
112096aa79
12116a4839
13851c241
14554d085
153857ba3
hex26a61ad

40526253 has 48 divisors (see below), whose sum is σ = 65070720. Its totient is φ = 24216192.

The previous prime is 40526251. The next prime is 40526257. The reversal of 40526253 is 35262504.

40526253 is a `hidden beast` number, since 405 + 2 + 6 + 253 = 666.

40526253 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 40526253 - 21 = 40526251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40526251) 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 47 ways as a sum of consecutive naturals, for example, 258051 + ... + 258207.

It is an arithmetic number, because the mean of its divisors is an integer number (1355640).

Almost surely, 240526253 is an apocalyptic number.

40526253 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

40526253 is a deficient number, since it is larger than the sum of its proper divisors (24544467).

40526253 is a wasteful number, since it uses less digits than its factorization.

40526253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 40526253 is about 6366.0233270072. The cubic root of 40526253 is about 343.4884596595.

Adding to 40526253 its reverse (35262504), we get a palindrome (75788757).

The spelling of 40526253 in words is "forty million, five hundred twenty-six thousand, two hundred fifty-three".

Divisors: 1 3 9 23 29 43 69 87 129 157 207 261 387 471 667 989 1247 1413 2001 2967 3611 3741 4553 6003 6751 8901 10833 11223 13659 20253 28681 32499 40977 60759 86043 104719 155273 195779 258129 314157 465819 587337 942471 1397457 1762011 4502917 13508751 40526253