Search a number
-
+
52117360 = 2454783167
BaseRepresentation
bin1100011011001…
…1111101110000
310122001211120121
43012303331300
5101320223420
65101020024
71201663441
oct306637560
9118054517
1052117360
11274675a9
1215554614
13aa4a099
146cc92c8
1548972aa
hex31b3f70

52117360 has 80 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 20036864.

The previous prime is 52117343. The next prime is 52117367. The reversal of 52117360 is 6371125.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52117367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311997 + ... + 312163.

Almost surely, 252117360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52117360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

52117360 is an abundant number, since it is smaller than the sum of its proper divisors (73874576).

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

52117360 is a wasteful number, since it uses less digits than its factorization.

52117360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 52117360 is about 7219.2354165798. The cubic root of 52117360 is about 373.5317043839.

Adding to 52117360 its reverse (6371125), we get a palindrome (58488485).

The spelling of 52117360 in words is "fifty-two million, one hundred seventeen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 83 94 166 167 188 235 332 334 376 415 470 664 668 752 830 835 940 1328 1336 1660 1670 1880 2672 3320 3340 3760 3901 6640 6680 7802 7849 13360 13861 15604 15698 19505 27722 31208 31396 39010 39245 55444 62416 62792 69305 78020 78490 110888 125584 138610 156040 156980 221776 277220 312080 313960 554440 627920 651467 1108880 1302934 2605868 3257335 5211736 6514670 10423472 13029340 26058680 52117360