| Base | Representation |
|---|---|
| bin | 11001011111010… |
| … | …100001110000000 |
| 3 | 1002210200100100200 |
| 4 | 121133110032000 |
| 5 | 1333433432210 |
| 6 | 110233445200 |
| 7 | 13411606626 |
| oct | 3137241600 |
| 9 | 1083610320 |
| 10 | 427639680 |
| 11 | 1aa434026 |
| 12 | bb270800 |
| 13 | 6a79b140 |
| 14 | 40b1b516 |
| 15 | 278230c0 |
| hex | 197d4380 |
427639680 has 192 divisors, whose sum is σ = 1590563520. Its totient is φ = 105246720.
The previous prime is 427639661. The next prime is 427639697. The reversal of 427639680 is 86936724.
427639680 is a `hidden beast` number, since 4 + 2 + 7 + 639 + 6 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72025 + ... + 77735.
It is an arithmetic number, because the mean of its divisors is an integer number (8284185).
Almost surely, 2427639680 is an apocalyptic number.
427639680 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 427639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795281760).
427639680 is an abundant number, since it is smaller than the sum of its proper divisors (1162923840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427639680 is a wasteful number, since it uses less digits than its factorization.
427639680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5749 (or 5734 counting only the distinct ones).
The product of its (nonzero) digits is 435456, while the sum is 45.
The square root of 427639680 is about 20679.4506696866. The cubic root of 427639680 is about 753.4006640075.
It can be divided in two parts, 4276 and 39680, that added together give a triangular number (43956 = T296).
The spelling of 427639680 in words is "four hundred twenty-seven million, six hundred thirty-nine thousand, six hundred eighty".
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