| Base | Representation |
|---|---|
| bin | 11001100000011… |
| … | …010001011100000 |
| 3 | 1002211012220110000 |
| 4 | 121200122023200 |
| 5 | 1334022114430 |
| 6 | 110243540000 |
| 7 | 13414212240 |
| oct | 3140321340 |
| 9 | 1084186400 |
| 10 | 427926240 |
| 11 | 1aa60a355 |
| 12 | bb38a600 |
| 13 | 6a86b6c1 |
| 14 | 40b93b20 |
| 15 | 2787ce60 |
| hex | 1981a2e0 |
427926240 has 480 divisors, whose sum is σ = 1778293440. Its totient is φ = 94887936.
The previous prime is 427926181. The next prime is 427926241. The reversal of 427926240 is 42629724.
427926240 is a `hidden beast` number, since 4 + 27 + 9 + 2 + 624 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 427926195 and 427926204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (427926241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4808116 + ... + 4808204.
It is an arithmetic number, because the mean of its divisors is an integer number (3704778).
Almost surely, 2427926240 is an apocalyptic number.
427926240 is a gapful number since it is divisible by the number (40) 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 427926240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889146720).
427926240 is an abundant number, since it is smaller than the sum of its proper divisors (1350367200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427926240 is a wasteful number, since it uses less digits than its factorization.
427926240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 176 (or 159 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 427926240 is about 20686.3781266804. The cubic root of 427926240 is about 753.5689102351.
The spelling of 427926240 in words is "four hundred twenty-seven million, nine hundred twenty-six thousand, two hundred forty".
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