Search a number
-
+
52323752 = 23134229
BaseRepresentation
bin1100011110011…
…0010110101000
310122110022200202
43013212112220
5101343330002
65105251332
71203513245
oct307462650
9118408622
1052323752
1127598678
1215633b48
13aac0000
146d405cc
1548d8502
hex31e65a8

52323752 has 40 divisors (see below), whose sum is σ = 106746450. Its totient is φ = 24043968.

The previous prime is 52323721. The next prime is 52323763. The reversal of 52323752 is 25732325.

It is a happy number.

52323752 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 5 ways, for example, as 857476 + 51466276 = 926^2 + 7174^2 .

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 228374 + ... + 228602.

Almost surely, 252323752 is an apocalyptic number.

52323752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52323752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53373225).

52323752 is an abundant number, since it is smaller than the sum of its proper divisors (54422698).

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

52323752 is an equidigital number, since it uses as much as digits as its factorization.

52323752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 244 counting only the distinct ones).

The product of its digits is 12600, while the sum is 29.

The square root of 52323752 is about 7233.5158809531. The cubic root of 52323752 is about 374.0241341056.

The spelling of 52323752 in words is "fifty-two million, three hundred twenty-three thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 169 229 338 458 676 916 1352 1832 2197 2977 4394 5954 8788 11908 17576 23816 28561 38701 57122 77402 114244 154804 228488 309608 503113 1006226 2012452 4024904 6540469 13080938 26161876 52323752