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4027790000 = 24541330983
BaseRepresentation
bin1111000000010011…
…0011001010110000
3101101200222221011102
43300010303022300
531222103240000
61503401303532
7201545435663
oct36004631260
911350887142
104027790000
111787645273
12944a94ba8
134c26017c0
142a2d096da
151889143d5
hexf01332b0

4027790000 has 100 divisors (see below), whose sum is σ = 10502150736. Its totient is φ = 1487136000.

The previous prime is 4027789951. The next prime is 4027790003. The reversal of 4027790000 is 977204.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (4027790003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114509 + ... + 145491.

Almost surely, 24027790000 is an apocalyptic number.

4027790000 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 4027790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251075368).

4027790000 is an abundant number, since it is smaller than the sum of its proper divisors (6474360736).

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

4027790000 is a wasteful number, since it uses less digits than its factorization.

4027790000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31024 (or 31003 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 4027790000 is about 63464.8721735103. The cubic root of 4027790000 is about 1591.0687275803.

The spelling of 4027790000 in words is "four billion, twenty-seven million, seven hundred ninety thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 30983 32500 61966 65000 123932 130000 154915 247864 309830 402779 495728 619660 774575 805558 1239320 1549150 1611116 2013895 2478640 3098300 3222232 3872875 4027790 6196600 6444464 7745750 8055580 10069475 12393200 15491500 16111160 19364375 20138950 30983000 32222320 38728750 40277900 50347375 61966000 77457500 80555800 100694750 154915000 161111600 201389500 251736875 309830000 402779000 503473750 805558000 1006947500 2013895000 4027790000