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2018483920 = 245124920201
BaseRepresentation
bin111100001001111…
…1001111011010000
312012200010121101201
41320103321323100
513113212441140
6532143040544
7101006554525
oct17023717320
95180117351
102018483920
11946421932
12483ba0154
132622496ab
1415210b14c
15bc31449a
hex784f9ed0

2018483920 has 40 divisors (see below), whose sum is σ = 4696965000. Its totient is φ = 806707200.

The previous prime is 2018483917. The next prime is 2018483923. The reversal of 2018483920 is 293848102.

It is an interprime number because it is at equal distance from previous prime (2018483917) and next prime (2018483923).

It can be written as a sum of positive squares in 4 ways, for example, as 25040016 + 1993443904 = 5004^2 + 44648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2018483920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018483923) 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 7 ways as a sum of consecutive naturals, for example, 89820 + ... + 110020.

It is an arithmetic number, because the mean of its divisors is an integer number (117424125).

Almost surely, 22018483920 is an apocalyptic number.

2018483920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2018483920 is an abundant number, since it is smaller than the sum of its proper divisors (2678481080).

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

2018483920 is a wasteful number, since it uses less digits than its factorization.

2018483920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21463 (or 21457 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2018483920 is about 44927.5407740063. The cubic root of 2018483920 is about 1263.7905337083.

The spelling of 2018483920 in words is "two billion, eighteen million, four hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1249 2498 4996 6245 9992 12490 19984 20201 24980 40402 49960 80804 99920 101005 161608 202010 323216 404020 808040 1616080 25231049 50462098 100924196 126155245 201848392 252310490 403696784 504620980 1009241960 2018483920