| Base | Representation |
|---|---|
| bin | 11011101001100… |
| … | …010100010100000 |
| 3 | 1012022212020210020 |
| 4 | 123221202202200 |
| 5 | 1422222433313 |
| 6 | 114010233440 |
| 7 | 14331602640 |
| oct | 3351424240 |
| 9 | 1168766706 |
| 10 | 463874208 |
| 11 | 218932616 |
| 12 | 10b425880 |
| 13 | 75146aa5 |
| 14 | 45870520 |
| 15 | 2aace323 |
| hex | 1ba628a0 |
463874208 has 192 divisors, whose sum is σ = 1497968640. Its totient is φ = 122729472.
The previous prime is 463874207. The next prime is 463874209. The reversal of 463874208 is 802478364.
It is an interprime number because it is at equal distance from previous prime (463874207) and next prime (463874209).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a self number, because there is not a number n which added to its sum of digits gives 463874208.
It is not an unprimeable number, because it can be changed into a prime (463874207) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599710 + ... + 600482.
It is an arithmetic number, because the mean of its divisors is an integer number (7801920).
Almost surely, 2463874208 is an apocalyptic number.
463874208 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 463874208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748984320).
463874208 is an abundant number, since it is smaller than the sum of its proper divisors (1034094432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
463874208 is a wasteful number, since it uses less digits than its factorization.
463874208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 859 (or 851 counting only the distinct ones).
The product of its (nonzero) digits is 258048, while the sum is 42.
The square root of 463874208 is about 21537.7391571167. The cubic root of 463874208 is about 774.1053612688.
It can be divided in two parts, 4638 and 74208, that multiplied together give a square (344176704 = 185522).
The spelling of 463874208 in words is "four hundred sixty-three million, eight hundred seventy-four thousand, two hundred eight".
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