Search a number
-
+
52158820 = 2257292443
BaseRepresentation
bin1100011011111…
…0000101100100
310122010221110011
43012332011210
5101323040240
65101540004
71202225350
oct306760544
9118127404
1052158820
112749576a
1215574604
13aa62c0c
146cda460
1548a46ea
hex31be164

52158820 has 72 divisors (see below), whose sum is σ = 129939264. Its totient is φ = 17227392.

The previous prime is 52158817. The next prime is 52158851. The reversal of 52158820 is 2885125.

52158820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 117519 + ... + 117961.

It is an arithmetic number, because the mean of its divisors is an integer number (1804712).

Almost surely, 252158820 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 52158820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64969632).

52158820 is an abundant number, since it is smaller than the sum of its proper divisors (77780444).

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

52158820 is a wasteful number, since it uses less digits than its factorization.

52158820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 52158820 is about 7222.1063409507. The cubic root of 52158820 is about 373.6307278167.

The spelling of 52158820 in words is "fifty-two million, one hundred fifty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 443 580 812 841 886 1015 1682 1772 2030 2215 3101 3364 4060 4205 4430 5887 6202 8410 8860 11774 12404 12847 15505 16820 23548 25694 29435 31010 51388 58870 62020 64235 89929 117740 128470 179858 256940 359716 372563 449645 745126 899290 1490252 1798580 1862815 2607941 3725630 5215882 7451260 10431764 13039705 26079410 52158820