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52252434 = 23213289193
BaseRepresentation
bin1100011101010…
…0111100010010
310122022200212100
43013110330102
5101334034214
65103541230
71203065313
oct307247422
9118280770
1052252434
112754a033
12155ba816
13aa96700
146d2260a
1548c2309
hex31d4f12

52252434 has 72 divisors (see below), whose sum is σ = 124612020. Its totient is φ = 15814656.

The previous prime is 52252433. The next prime is 52252507. The reversal of 52252434 is 43425225.

It is a happy number.

52252434 is a `hidden beast` number, since 5 + 225 + 2 + 434 = 666.

52252434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 455625 + 51796809 = 675^2 + 7197^2 .

Its product of digits (9600) is a multiple of the sum of its prime divisors (300).

It is a junction number, because it is equal to n+sod(n) for n = 52252398 and 52252407.

It is not an unprimeable number, because it can be changed into a prime (52252433) 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 35 ways as a sum of consecutive naturals, for example, 270642 + ... + 270834.

Almost surely, 252252434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52252434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62306010).

52252434 is an abundant number, since it is smaller than the sum of its proper divisors (72359586).

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

52252434 is a wasteful number, since it uses less digits than its factorization.

52252434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 52252434 is about 7228.5845087403. The cubic root of 52252434 is about 373.8541234784.

Adding to 52252434 its reverse (43425225), we get a palindrome (95677659).

The spelling of 52252434 in words is "fifty-two million, two hundred fifty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 169 178 193 234 267 338 386 507 534 579 801 1014 1157 1158 1521 1602 1737 2314 2509 3042 3471 3474 5018 6942 7527 10413 15041 15054 17177 20826 22581 30082 32617 34354 45123 45162 51531 65234 90246 97851 103062 135369 154593 195702 223301 270738 293553 309186 446602 587106 669903 1339806 2009709 2902913 4019418 5805826 8708739 17417478 26126217 52252434