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4272808000 = 2653534101
BaseRepresentation
bin1111111010101101…
…1110000001000000
3102000210001010200011
43332223132001000
532222314324000
61543553034304
7210612161116
oct37653360100
912023033604
104272808000
1118a298598a
129b2b55994
135312bb676
142c7689ab6
151a01b22ba
hexfeade040

4272808000 has 56 divisors (see below), whose sum is σ = 10581628824. Its totient is φ = 1709120000.

The previous prime is 4272807997. The next prime is 4272808009. The reversal of 4272808000 is 8082724.

4272808000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 76877824 + 4195930176 = 8768^2 + 64776^2 .

It is not an unprimeable number, because it can be changed into a prime (4272808009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259051 + ... + 275050.

Almost surely, 24272808000 is an apocalyptic number.

4272808000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4272808000 is an abundant number, since it is smaller than the sum of its proper divisors (6308820824).

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

4272808000 is an equidigital number, since it uses as much as digits as its factorization.

4272808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534128 (or 534108 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 4272808000 is about 65366.7193608491. The cubic root of 4272808000 is about 1622.6983430403.

The spelling of 4272808000 in words is "four billion, two hundred seventy-two million, eight hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 534101 1068202 2136404 2670505 4272808 5341010 8545616 10682020 13352525 17091232 21364040 26705050 34182464 42728080 53410100 66762625 85456160 106820200 133525250 170912320 213640400 267050500 427280800 534101000 854561600 1068202000 2136404000 4272808000