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52242048800 = 255280812
BaseRepresentation
bin110000101001110111…
…100110011100100000
311222211211122001101022
4300221313212130200
51323442431030200
635555532225012
73526415042114
oct605167463440
9158754561338
1052242048800
1120179302547
12a15b90b168
134c07404616
1427583d5744
15155b61a885
hexc29de6720

52242048800 has 54 divisors (see below), whose sum is σ = 127551685779. Its totient is φ = 20894233600.

The previous prime is 52242048799. The next prime is 52242048809. The reversal of 52242048800 is 884024225.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 11213115664 + 41028933136 = 105892^2 + 202556^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=161620.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52242048809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6460760 + ... + 6468840.

Almost surely, 252242048800 is an apocalyptic number.

52242048800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52242048800 is an abundant number, since it is smaller than the sum of its proper divisors (75309636979).

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

52242048800 is an frugal number, since it uses more digits than its factorization.

52242048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16182 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The spelling of 52242048800 in words is "fifty-two billion, two hundred forty-two million, forty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 8081 16162 32324 40405 64648 80810 129296 161620 202025 258592 323240 404050 646480 808100 1292960 1616200 3232400 6464800 65302561 130605122 261210244 326512805 522420488 653025610 1044840976 1306051220 1632564025 2089681952 2612102440 3265128050 5224204880 6530256100 10448409760 13060512200 26121024400 52242048800