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52544543200 = 2552297928669
BaseRepresentation
bin110000111011111001…
…100001100111100000
312000121220211100200121
4300323321201213200
51330102400340300
640045535530024
73540050151022
oct607371414740
9160556740617
1052544543200
1120314030016
12a225089914
134c54c968a6
142786658012
151577e6d81a
hexc3be619e0

52544543200 has 144 divisors (see below), whose sum is σ = 134382024000. Its totient is φ = 20035491840.

The previous prime is 52544543189. The next prime is 52544543221. The reversal of 52544543200 is 234544525.

52544543200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1818466 + ... + 1847134.

It is an arithmetic number, because the mean of its divisors is an integer number (933208500).

Almost surely, 252544543200 is an apocalyptic number.

52544543200 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 52544543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67191012000).

52544543200 is an abundant number, since it is smaller than the sum of its proper divisors (81837480800).

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

52544543200 is a wasteful number, since it uses less digits than its factorization.

52544543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28797 (or 28784 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

It can be divided in two parts, 5254 and 4543200, that added together give a palindrome (4548454).

The spelling of 52544543200 in words is "fifty-two billion, five hundred forty-four million, five hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 79 80 100 116 145 158 160 200 232 290 316 395 400 464 580 632 725 790 800 928 1160 1264 1450 1580 1975 2291 2320 2528 2900 3160 3950 4582 4640 5800 6320 7900 9164 11455 11600 12640 15800 18328 22910 23200 28669 31600 36656 45820 57275 57338 63200 73312 91640 114550 114676 143345 183280 229100 229352 286690 366560 458200 458704 573380 716725 831401 916400 917408 1146760 1433450 1662802 1832800 2264851 2293520 2866900 3325604 4157005 4529702 4587040 5733800 6651208 8314010 9059404 11324255 11467600 13302416 16628020 18118808 20785025 22648510 22935200 26604832 33256040 36237616 41570050 45297020 56621275 65680679 66512080 72475232 83140100 90594040 113242550 131361358 133024160 166280200 181188080 226485100 262722716 328403395 332560400 362376160 452970200 525445432 656806790 665120800 905940400 1050890864 1313613580 1642016975 1811880800 2101781728 2627227160 3284033950 5254454320 6568067900 10508908640 13136135800 26272271600 52544543200