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4804088480 = 255171766209
BaseRepresentation
bin1000111100101100…
…01001001010100000
3110101210201222110222
410132112021022200
534314321312410
62112412142212
7230023035602
oct43626111240
913353658428
104804088480
112045867864
12b20a67968
135b73a6509
14338065172
151d1b58955
hex11e5892a0

4804088480 has 48 divisors (see below), whose sum is σ = 12017292840. Its totient is φ = 1808596992.

The previous prime is 4804088477. The next prime is 4804088483. The reversal of 4804088480 is 848804084.

It is an interprime number because it is at equal distance from previous prime (4804088477) and next prime (4804088483).

It can be written as a sum of positive squares in 4 ways, for example, as 4581123856 + 222964624 = 67684^2 + 14932^2 .

It is a super-2 number, since 2×48040884802 = 46158532247337420800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4804088483) 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 7 ways as a sum of consecutive naturals, for example, 880385 + ... + 885824.

Almost surely, 24804088480 is an apocalyptic number.

4804088480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4804088480 is an abundant number, since it is smaller than the sum of its proper divisors (7213204360).

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

4804088480 is a wasteful number, since it uses less digits than its factorization.

4804088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766241 (or 1766233 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The square root of 4804088480 is about 69311.5320852165. The cubic root of 4804088480 is about 1687.3441332398.

The spelling of 4804088480 in words is "four billion, eight hundred four million, eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 1766209 3532418 7064836 8831045 14129672 17662090 28259344 30025553 35324180 56518688 60051106 70648360 120102212 141296720 150127765 240204424 282593440 300255530 480408848 600511060 960817696 1201022120 2402044240 4804088480