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2803720480 = 255113075189
BaseRepresentation
bin1010011100011101…
…0110000100100000
321020101200202110021
42213013112010200
521220223023410
61142113243224
7126323142121
oct24707260440
97211622407
102803720480
111209699770
12662b63514
13358b30802
141c8512048
15116221eda
hexa71d6120

2803720480 has 96 divisors (see below), whose sum is σ = 7250886720. Its totient is φ = 1016017920.

The previous prime is 2803720463. The next prime is 2803720499. The reversal of 2803720480 is 840273082.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 537726 + ... + 542914.

It is an arithmetic number, because the mean of its divisors is an integer number (75530070).

Almost surely, 22803720480 is an apocalyptic number.

2803720480 is a gapful number since it is divisible by the number (20) 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 2803720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625443360).

2803720480 is an abundant number, since it is smaller than the sum of its proper divisors (4447166240).

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

2803720480 is a wasteful number, since it uses less digits than its factorization.

2803720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 2803720480 is about 52950.1697825418. The cubic root of 2803720480 is about 1410.0837399757.

The spelling of 2803720480 in words is "two billion, eight hundred three million, seven hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 307 352 440 614 880 1228 1535 1760 2456 3070 3377 4912 5189 6140 6754 9824 10378 12280 13508 16885 20756 24560 25945 27016 33770 41512 49120 51890 54032 57079 67540 83024 103780 108064 114158 135080 166048 207560 228316 270160 285395 415120 456632 540320 570790 830240 913264 1141580 1593023 1826528 2283160 3186046 4566320 6372092 7965115 9132640 12744184 15930230 17523253 25488368 31860460 35046506 50976736 63720920 70093012 87616265 127441840 140186024 175232530 254883680 280372048 350465060 560744096 700930120 1401860240 2803720480