| Base | Representation |
|---|---|
| bin | 100011110101100… |
| … | …010000110010000 |
| 3 | 1112220022221112200 |
| 4 | 203311202012100 |
| 5 | 2212404021411 |
| 6 | 135354323200 |
| 7 | 20620264134 |
| oct | 4365420620 |
| 9 | 1486287480 |
| 10 | 601235856 |
| 11 | 289422441 |
| 12 | 149429500 |
| 13 | 9773c280 |
| 14 | 59bc93c4 |
| 15 | 37bb3e56 |
| hex | 23d62190 |
601235856 has 120 divisors (see below), whose sum is σ = 1818867960. Its totient is φ = 184301568.
The previous prime is 601235837. The next prime is 601235879. The reversal of 601235856 is 658532106.
601235856 is a `hidden beast` number, since 60 + 12 + 3 + 585 + 6 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 138297600 + 462938256 = 11760^2 + 21516^2 .
It is a super-4 number, since 4×6012358564 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 3.
It is a self number, because there is not a number n which added to its sum of digits gives 601235856.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742780 + ... + 743588.
It is an arithmetic number, because the mean of its divisors is an integer number (15157233).
Almost surely, 2601235856 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 601235856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909433980).
601235856 is an abundant number, since it is smaller than the sum of its proper divisors (1217632104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
601235856 is a wasteful number, since it uses less digits than its factorization.
601235856 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1233 (or 1224 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 36.
The square root of 601235856 is about 24520.1112558651. Note that the first 3 decimals coincide. The cubic root of 601235856 is about 844.0113577831.
The spelling of 601235856 in words is "six hundred one million, two hundred thirty-five thousand, eight hundred fifty-six".
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