| Base | Representation |
|---|---|
| bin | 11001011111101… |
| … | …010101110000000 |
| 3 | 1002210212000210000 |
| 4 | 121133222232000 |
| 5 | 1333444404330 |
| 6 | 110235440000 |
| 7 | 13412442414 |
| oct | 3137525600 |
| 9 | 1083760700 |
| 10 | 427731840 |
| 11 | 1aa497298 |
| 12 | bb2b6000 |
| 13 | 6a801083 |
| 14 | 40b42d44 |
| 15 | 27840560 |
| hex | 197eab80 |
427731840 has 320 divisors, whose sum is σ = 1575826560. Its totient is φ = 110481408.
The previous prime is 427731839. The next prime is 427731841. The reversal of 427731840 is 48137724.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (427731839) and next prime (427731841).
It is a tau number, because it is divible by the number of its divisors (320).
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 = 427731795 and 427731804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (427731841) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1917969 + ... + 1918191.
It is an arithmetic number, because the mean of its divisors is an integer number (4924458).
Almost surely, 2427731840 is an apocalyptic number.
427731840 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 427731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787913280).
427731840 is an abundant number, since it is smaller than the sum of its proper divisors (1148094720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427731840 is a wasteful number, since it uses less digits than its factorization.
427731840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 291 (or 270 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 427731840 is about 20681.6788486815. The cubic root of 427731840 is about 753.4547815440.
The spelling of 427731840 in words is "four hundred twenty-seven million, seven hundred thirty-one thousand, eight hundred forty".
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