| Base | Representation |
|---|---|
| bin | 11100101010010… |
| … | …011110010101000 |
| 3 | 1020111210212112022 |
| 4 | 130222103302220 |
| 5 | 1441044300120 |
| 6 | 115414204012 |
| 7 | 14626120154 |
| oct | 3452236250 |
| 9 | 1214725468 |
| 10 | 480853160 |
| 11 | 22747a107 |
| 12 | 115053608 |
| 13 | 788100c8 |
| 14 | 47c10064 |
| 15 | 2c335025 |
| hex | 1ca93ca8 |
480853160 has 64 divisors (see below), whose sum is σ = 1148288400. Its totient is φ = 180596736.
The previous prime is 480853151. The next prime is 480853169. The reversal of 480853160 is 61358084.
It is an interprime number because it is at equal distance from previous prime (480853151) and next prime (480853169).
It can be written as a sum of positive squares in 8 ways, for example, as 166358404 + 314494756 = 12898^2 + 17734^2 .
It is a super-3 number, since 3×4808531603 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 480853160.
It is not an unprimeable number, because it can be changed into a prime (480853169) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563294 + ... + 564146.
Almost surely, 2480853160 is an apocalyptic number.
480853160 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 480853160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574144200).
480853160 is an abundant number, since it is smaller than the sum of its proper divisors (667435240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480853160 is a wasteful number, since it uses less digits than its factorization.
480853160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1710 (or 1706 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 35.
The square root of 480853160 is about 21928.3642800825. The cubic root of 480853160 is about 783.4371437291.
The spelling of 480853160 in words is "four hundred eighty million, eight hundred fifty-three thousand, one hundred sixty".
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