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252019326 = 231323592381
BaseRepresentation
bin11110000010110…
…00001001111110
3122120012220112010
433001120021332
51004004104301
641001352050
76150062136
oct1701301176
9576186463
10252019326
1111a292939
1270498626
134029b880
1425683ac6
15171d25d6
hexf05827e

252019326 has 64 divisors (see below), whose sum is σ = 576253440. Its totient is φ = 72885120.

The previous prime is 252019319. The next prime is 252019337. The reversal of 252019326 is 623910252.

252019326 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 252019293 and 252019302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104656 + ... + 107036.

It is an arithmetic number, because the mean of its divisors is an integer number (9003960).

Almost surely, 2252019326 is an apocalyptic number.

252019326 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 252019326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288126720).

252019326 is an abundant number, since it is smaller than the sum of its proper divisors (324234114).

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

252019326 is a wasteful number, since it uses less digits than its factorization.

252019326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 252019326 is about 15875.1165665012. The cubic root of 252019326 is about 631.6521061737.

Adding to 252019326 its reverse (623910252), we get a palindrome (875929578).

The spelling of 252019326 in words is "two hundred fifty-two million, nineteen thousand, three hundred twenty-six".

Divisors: 1 2 3 6 13 23 26 39 46 59 69 78 118 138 177 299 354 598 767 897 1357 1534 1794 2301 2381 2714 4071 4602 4762 7143 8142 14286 17641 30953 35282 52923 54763 61906 92859 105846 109526 140479 164289 185718 280958 328578 421437 711919 842874 1423838 1826227 2135757 3231017 3652454 4271514 5478681 6462034 9693051 10957362 19386102 42003221 84006442 126009663 252019326