Search a number
-
+
52341200 = 2452197197
BaseRepresentation
bin1100011110101…
…0100111010000
310122111012121222
43013222213100
5101344404300
65105504212
71203615152
oct307524720
9118435558
1052341200
11275aa79a
1215642068
13aac7c32
146d46ad2
1548dd785
hex31ea9d0

52341200 has 120 divisors (see below), whose sum is σ = 135616320. Its totient is φ = 19353600.

The previous prime is 52341197. The next prime is 52341203. The reversal of 52341200 is 214325.

52341200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52341197) and next prime (52341203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52341203) 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 23 ways as a sum of consecutive naturals, for example, 539552 + ... + 539648.

It is an arithmetic number, because the mean of its divisors is an integer number (1130136).

Almost surely, 252341200 is an apocalyptic number.

52341200 is a gapful number since it is divisible by the number (50) 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 52341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67808160).

52341200 is an abundant number, since it is smaller than the sum of its proper divisors (83275120).

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

52341200 is a wasteful number, since it uses less digits than its factorization.

52341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 52341200 is about 7234.7218329387. The cubic root of 52341200 is about 374.0657038044.

Adding to 52341200 its reverse (214325), we get a palindrome (52555525).

The spelling of 52341200 in words is "fifty-two million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 71 76 80 95 97 100 142 152 190 194 200 284 304 355 380 388 400 475 485 568 710 760 776 950 970 1136 1349 1420 1520 1552 1775 1843 1900 1940 2425 2698 2840 3550 3686 3800 3880 4850 5396 5680 6745 6887 7100 7372 7600 7760 9215 9700 10792 13490 13774 14200 14744 18430 19400 21584 26980 27548 28400 29488 33725 34435 36860 38800 46075 53960 55096 67450 68870 73720 92150 107920 110192 130853 134900 137740 147440 172175 184300 261706 269800 275480 344350 368600 523412 539600 550960 654265 688700 737200 1046824 1308530 1377400 2093648 2617060 2754800 3271325 5234120 6542650 10468240 13085300 26170600 52341200