| Base | Representation |
|---|---|
| bin | 1001001100101101… |
| … | …01110101111100000 |
| 3 | 110202011120202201200 |
| 4 | 10212112232233200 |
| 5 | 40103221211003 |
| 6 | 2134012201200 |
| 7 | 233244134640 |
| oct | 44626565740 |
| 9 | 13664522650 |
| 10 | 4938460128 |
| 11 | 21046a5208 |
| 12 | b59a69200 |
| 13 | 609192a74 |
| 14 | 34bc42520 |
| 15 | 1dd84c6a3 |
| hex | 1265aebe0 |
4938460128 has 144 divisors (see below), whose sum is σ = 16077035520. Its totient is φ = 1408612608.
The previous prime is 4938460097. The next prime is 4938460159. The reversal of 4938460128 is 8210648394.
It is a happy number.
4938460128 is a `hidden beast` number, since 4 + 9 + 38 + 4 + 601 + 2 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (4938460097) and next prime (4938460159).
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1447801 + ... + 1451207.
It is an arithmetic number, because the mean of its divisors is an integer number (111646080).
Almost surely, 24938460128 is an apocalyptic number.
4938460128 is a gapful number since it is divisible by the number (48) 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 4938460128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038517760).
4938460128 is an abundant number, since it is smaller than the sum of its proper divisors (11138575392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4938460128 is a wasteful number, since it uses less digits than its factorization.
4938460128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4149 (or 4138 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The square root of 4938460128 is about 70274.1782449286. The cubic root of 4938460128 is about 1702.9315195378.
The spelling of 4938460128 in words is "four billion, nine hundred thirty-eight million, four hundred sixty thousand, one hundred twenty-eight".
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