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4285243424 = 257114737003
BaseRepresentation
bin1111111101101011…
…1010000000100000
3102001122102220212102
43333122322000200
532234010242144
61545115345532
7211122653030
oct37732720040
912048386772
104285243424
1118a99a98a0
129b71522a8
13533a538c7
142c91a58c0
151a131bb4e
hexff6ba020

4285243424 has 96 divisors (see below), whose sum is σ = 10742409216. Its totient is φ = 1634008320.

The previous prime is 4285243423. The next prime is 4285243463. The reversal of 4285243424 is 4243425824.

4285243424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42852434242 = 36726622405870487552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4285243421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97307 + ... + 134309.

It is an arithmetic number, because the mean of its divisors is an integer number (111900096).

Almost surely, 24285243424 is an apocalyptic number.

4285243424 is a gapful number since it is divisible by the number (44) 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 4285243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371204608).

4285243424 is an abundant number, since it is smaller than the sum of its proper divisors (6457165792).

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

4285243424 is a wasteful number, since it uses less digits than its factorization.

4285243424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37078 (or 37070 counting only the distinct ones).

The product of its digits is 245760, while the sum is 38.

The square root of 4285243424 is about 65461.7707062679. The cubic root of 4285243424 is about 1624.2710322798.

The spelling of 4285243424 in words is "four billion, two hundred eighty-five million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 77 88 94 112 154 176 188 224 308 329 352 376 517 616 658 752 1034 1232 1316 1504 2068 2464 2632 3619 4136 5264 7238 8272 10528 14476 16544 28952 37003 57904 74006 115808 148012 259021 296024 407033 518042 592048 814066 1036084 1184096 1628132 1739141 2072168 2849231 3256264 3478282 4144336 5698462 6512528 6956564 8288672 11396924 12173987 13025056 13913128 19130551 22793848 24347974 27826256 38261102 45587696 48695948 55652512 76522204 91175392 97391896 133913857 153044408 194783792 267827714 306088816 389567584 535655428 612177632 1071310856 2142621712 4285243424