Search a number
-
+
53525160 = 233251311437
BaseRepresentation
bin1100110000101…
…1101010101000
310201201100201100
43030023222220
5102200301120
65151121400
71216646013
oct314135250
9121640640
1053525160
1128239277
1215b13260
13b120ac0
14717437a
154a74490
hex330baa8

53525160 has 96 divisors (see below), whose sum is σ = 187354440. Its totient is φ = 13174272.

The previous prime is 53525141. The next prime is 53525167. The reversal of 53525160 is 6152535.

It can be written as a sum of positive squares in 4 ways, for example, as 27941796 + 25583364 = 5286^2 + 5058^2 .

It is not an unprimeable number, because it can be changed into a prime (53525167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039 + ... + 10398.

Almost surely, 253525160 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 53525160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93677220).

53525160 is an abundant number, since it is smaller than the sum of its proper divisors (133829280).

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

53525160 is a wasteful number, since it uses less digits than its factorization.

53525160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11467 (or 11460 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 53525160 is about 7316.0891191948. The cubic root of 53525160 is about 376.8651610840.

Adding to 53525160 its reverse (6152535), we get a palindrome (59677695).

The spelling of 53525160 in words is "fifty-three million, five hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 11437 22874 34311 45748 57185 68622 91496 102933 114370 137244 148681 171555 205866 228740 274488 297362 343110 411732 446043 457480 514665 594724 686220 743405 823464 892086 1029330 1189448 1338129 1372440 1486810 1784172 2058660 2230215 2676258 2973620 3568344 4117320 4460430 5352516 5947240 6690645 8920860 10705032 13381290 17841720 26762580 53525160