Base | Representation |
---|---|
bin | 11100111010101… |
… | …011100001000000 |
3 | 1020210212220100000 |
4 | 130322223201000 |
5 | 1443144112030 |
6 | 120050200000 |
7 | 15010442601 |
oct | 3472534100 |
9 | 1223786300 |
10 | 485144640 |
11 | 229940392 |
12 | 116583000 |
13 | 79683546 |
14 | 48609da8 |
15 | 2c8d1860 |
hex | 1ceab840 |
485144640 has 336 divisors, whose sum is σ = 1837285632. Its totient is φ = 121430016.
The previous prime is 485144599. The next prime is 485144659. The reversal of 485144640 is 46441584.
It is a happy number.
485144640 is a `hidden beast` number, since 4 + 8 + 5 + 1 + 4 + 4 + 640 = 666.
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 = 485144595 and 485144604.
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 47 ways as a sum of consecutive naturals, for example, 1321737 + ... + 1322103.
It is an arithmetic number, because the mean of its divisors is an integer number (5468112).
Almost surely, 2485144640 is an apocalyptic number.
485144640 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 485144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918642816).
485144640 is an abundant number, since it is smaller than the sum of its proper divisors (1352140992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
485144640 is a wasteful number, since it uses less digits than its factorization.
485144640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 416 (or 394 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
The square root of 485144640 is about 22025.9991827840. Note that the first 3 decimals coincide. The cubic root of 485144640 is about 785.7608969121.
Adding to 485144640 its sum of digits (36), we get a square (485144676 = 220262).
The spelling of 485144640 in words is "four hundred eighty-five million, one hundred forty-four thousand, six hundred forty".
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