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4139806248 = 2332234753189
BaseRepresentation
bin1111011011000000…
…0110111000101000
3101200111202221120100
43312300012320220
531434242244443
61522442225400
7204405525654
oct36660067050
911614687510
104139806248
1118348a3786
129764b5260
1350c8917c6
142b3b47a64
1519368e3d3
hexf6c06e28

4139806248 has 96 divisors (see below), whose sum is σ = 11948601600. Its totient is φ = 1291830144.

The previous prime is 4139806243. The next prime is 4139806259. The reversal of 4139806248 is 8426089314.

It is a happy number.

4139806248 is a `hidden beast` number, since 4 + 13 + 9 + 8 + 0 + 624 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4139806243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51238 + ... + 104426.

It is an arithmetic number, because the mean of its divisors is an integer number (124464600).

Almost surely, 24139806248 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 4139806248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974300800).

4139806248 is an abundant number, since it is smaller than the sum of its proper divisors (7808795352).

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

4139806248 is a wasteful number, since it uses less digits than its factorization.

4139806248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53271 (or 53264 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4139806248 is about 64341.3261287021. The cubic root of 4139806248 is about 1605.6837241836.

The spelling of 4139806248 in words is "four billion, one hundred thirty-nine million, eight hundred six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 47 69 72 92 94 138 141 184 188 207 276 282 376 414 423 552 564 828 846 1081 1128 1656 1692 2162 3243 3384 4324 6486 8648 9729 12972 19458 25944 38916 53189 77832 106378 159567 212756 319134 425512 478701 638268 957402 1223347 1276536 1914804 2446694 2499883 3670041 3829608 4893388 4999766 7340082 7499649 9786776 9999532 11010123 14680164 14999298 19999064 22020246 22498947 29360328 29998596 44040492 44997894 57497309 59997192 88080984 89995788 114994618 172491927 179991576 229989236 344983854 459978472 517475781 689967708 1034951562 1379935416 2069903124 4139806248