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52161200 = 24527131433
BaseRepresentation
bin1100011011111…
…0101010110000
310122011001201022
43012332222300
5101323124300
65101555012
71202235320
oct306765260
9118131638
1052161200
1127497533
1215575a68
13aa64020
146cdb280
1548a5285
hex31beab0

52161200 has 120 divisors (see below), whose sum is σ = 154344288. Its totient is φ = 16496640.

The previous prime is 52161181. The next prime is 52161203. The reversal of 52161200 is 216125.

It is not an unprimeable number, because it can be changed into a prime (52161203) 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, 35684 + ... + 37116.

Almost surely, 252161200 is an apocalyptic number.

52161200 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 52161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77172144).

52161200 is an abundant number, since it is smaller than the sum of its proper divisors (102183088).

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

52161200 is a wasteful number, since it uses less digits than its factorization.

52161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 52161200 is about 7222.2711109456. The cubic root of 52161200 is about 373.6364106370.

Adding to 52161200 its reverse (216125), we get a palindrome (52377325).

The spelling of 52161200 in words is "fifty-two million, one hundred sixty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1433 1456 1820 2275 2600 2800 2866 3640 4550 5200 5732 7165 7280 9100 10031 11464 14330 18200 18629 20062 22928 28660 35825 36400 37258 40124 50155 57320 71650 74516 80248 93145 100310 114640 130403 143300 149032 160496 186290 200620 250775 260806 286600 298064 372580 401240 465725 501550 521612 573200 652015 745160 802480 931450 1003100 1043224 1304030 1490320 1862900 2006200 2086448 2608060 3260075 3725800 4012400 5216120 6520150 7451600 10432240 13040300 26080600 52161200