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52343200 = 2552713719
BaseRepresentation
bin1100011110101…
…1000110100000
310122111022101001
43013223012200
5101344440300
65105521344
71203624040
oct307530640
9118438331
1052343200
1127601248
1215643254
13aac8b10
146d47720
1548de16a
hex31eb1a0

52343200 has 144 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 16542720.

The previous prime is 52343131. The next prime is 52343201. The reversal of 52343200 is 234325.

It is not an unprimeable number, because it can be changed into a prime (52343201) 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, 72441 + ... + 73159.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 252343200 is an apocalyptic number.

52343200 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 52343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

52343200 is an abundant number, since it is smaller than the sum of its proper divisors (105146720).

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

52343200 is a wasteful number, since it uses less digits than its factorization.

52343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 52343200 is about 7234.8600539333. The cubic root of 52343200 is about 374.0704681958.

Adding to 52343200 its reverse (234325), we get a palindrome (52577525).

The spelling of 52343200 in words is "fifty-two million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 130 140 160 175 182 200 208 224 260 280 325 350 364 400 416 455 520 560 650 700 719 728 800 910 1040 1120 1300 1400 1438 1456 1820 2080 2275 2600 2800 2876 2912 3595 3640 4550 5033 5200 5600 5752 7190 7280 9100 9347 10066 10400 11504 14380 14560 17975 18200 18694 20132 23008 25165 28760 35950 36400 37388 40264 46735 50330 57520 65429 71900 72800 74776 80528 93470 100660 115040 125825 130858 143800 149552 161056 186940 201320 233675 251650 261716 287600 299104 327145 373880 402640 467350 503300 523432 575200 654290 747760 805280 934700 1006600 1046864 1308580 1495520 1635725 1869400 2013200 2093728 2617160 3271450 3738800 4026400 5234320 6542900 7477600 10468640 13085800 26171600 52343200