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2806139520 = 27325487177
BaseRepresentation
bin1010011101000010…
…0100101010000000
321020120020122202100
42213100210222000
521221332431040
61142241150400
7126352535532
oct24720445200
97216218670
102806139520
11120aaa1178
1266392b400
133594998b2
141c8981852
1511654db30
hexa7424a80

2806139520 has 96 divisors (see below), whose sum is σ = 9689970420. Its totient is φ = 748302336.

The previous prime is 2806139471. The next prime is 2806139551. The reversal of 2806139520 is 259316082.

It can be written as a sum of positive squares in 2 ways, for example, as 2765077056 + 41062464 = 52584^2 + 6408^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 237829 + ... + 249348.

Almost surely, 22806139520 is an apocalyptic number.

2806139520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2806139520 is an abundant number, since it is smaller than the sum of its proper divisors (6883830900).

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

2806139520 is a wasteful number, since it uses less digits than its factorization.

2806139520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487202 (or 487187 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2806139520 is about 52973.0074660671. The cubic root of 2806139520 is about 1410.4891618013.

The spelling of 2806139520 in words is "two billion, eight hundred six million, one hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 487177 974354 1461531 1948708 2435885 2923062 3897416 4384593 4871770 5846124 7307655 7794832 8769186 9743540 11692248 14615310 15589664 17538372 19487080 21922965 23384496 29230620 31179328 35076744 38974160 43845930 46768992 58461240 62358656 70153488 77948320 87691860 93537984 116922480 140306976 155896640 175383720 187075968 233844960 280613952 311793280 350767440 467689920 561227904 701534880 935379840 1403069760 2806139520