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4868301200 = 2452712591381
BaseRepresentation
bin1001000100010110…
…00110000110010000
3110120021120022202212
410202023012012100
534432241114300
62123024331252
7231432606650
oct44213060620
913507508685
104868301200
112079035824
12b3a473b28
135c7799ac9
143427bc360
151d75de935
hex1222c6190

4868301200 has 120 divisors (see below), whose sum is σ = 13387268160. Its totient is φ = 1666598400.

The previous prime is 4868301199. The next prime is 4868301209. The reversal of 4868301200 is 21038684.

It is not an unprimeable number, because it can be changed into a prime (4868301209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3524510 + ... + 3525890.

It is an arithmetic number, because the mean of its divisors is an integer number (111560568).

Almost surely, 24868301200 is an apocalyptic number.

4868301200 is a gapful number since it is divisible by the number (40) 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 4868301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693634080).

4868301200 is an abundant number, since it is smaller than the sum of its proper divisors (8518966960).

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

4868301200 is a wasteful number, since it uses less digits than its factorization.

4868301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 4868301200 is about 69773.2126249035. The cubic root of 4868301200 is about 1694.8287143130.

Adding to 4868301200 its reverse (21038684), we get a palindrome (4889339884).

The spelling of 4868301200 in words is "four billion, eight hundred sixty-eight million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1259 1381 1400 2518 2762 2800 5036 5524 6295 6905 8813 9667 10072 11048 12590 13810 17626 19334 20144 22096 25180 27620 31475 34525 35252 38668 44065 48335 50360 55240 62950 69050 70504 77336 88130 96670 100720 110480 125900 138100 141008 154672 176260 193340 220325 241675 251800 276200 352520 386680 440650 483350 503600 552400 705040 773360 881300 966700 1738679 1762600 1933400 3477358 3525200 3866800 6954716 8693395 12170753 13909432 17386790 24341506 27818864 34773580 43466975 48683012 60853765 69547160 86933950 97366024 121707530 139094320 173867900 194732048 243415060 304268825 347735800 486830120 608537650 695471600 973660240 1217075300 2434150600 4868301200