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4286423184 = 243296434789
BaseRepresentation
bin1111111101111101…
…1010000010010000
3102001201122212012020
43333133122002100
532234311020214
61545200531440
7211135665411
oct37737320220
912051585166
104286423184
1118aa6351aa
129b7620b80
135340778a4
142c93d1808
151a14a14a9
hexff7da090

4286423184 has 80 divisors (see below), whose sum is σ = 11475307200. Its totient is φ = 1377105408.

The previous prime is 4286423179. The next prime is 4286423191. The reversal of 4286423184 is 4813246824.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892662 + ... + 897450.

It is an arithmetic number, because the mean of its divisors is an integer number (143441340).

Almost surely, 24286423184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4286423184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737653600).

4286423184 is an abundant number, since it is smaller than the sum of its proper divisors (7188884016).

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

4286423184 is a wasteful number, since it uses less digits than its factorization.

4286423184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5466 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 4286423184 is about 65470.7811470124. The cubic root of 4286423184 is about 1624.4200766458.

The spelling of 4286423184 in words is "four billion, two hundred eighty-six million, four hundred twenty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 643 696 1286 1392 1929 2572 3858 4789 5144 7716 9578 10288 14367 15432 18647 19156 28734 30864 37294 38312 55941 57468 74588 76624 111882 114936 138881 149176 223764 229872 277762 298352 416643 447528 555524 833286 895056 1111048 1666572 2222096 3079327 3333144 6158654 6666288 9237981 12317308 18475962 24634616 36951924 49269232 73903848 89300483 147807696 178600966 267901449 357201932 535802898 714403864 1071605796 1428807728 2143211592 4286423184