Base | Representation |
---|---|
bin | 11100000100000… |
… | …101001000000000 |
3 | 1012210221201120000 |
4 | 130010011020000 |
5 | 1431013102431 |
6 | 114415320000 |
7 | 14445000633 |
oct | 3404051000 |
9 | 1183851500 |
10 | 470831616 |
11 | 221854842 |
12 | 111820000 |
13 | 767117b8 |
14 | 46761c1a |
15 | 2b5059e6 |
hex | 1c105200 |
470831616 has 100 divisors (see below), whose sum is σ = 1405432182. Its totient is φ = 156930048.
The previous prime is 470831591. The next prime is 470831651. The reversal of 470831616 is 616138074.
470831616 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 31 + 616 = 666.
It can be written as a sum of positive squares in only one way, i.e., 435974400 + 34857216 = 20880^2 + 5904^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 35796 + ... + 47148.
Almost surely, 2470831616 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 470831616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702716091).
470831616 is an abundant number, since it is smaller than the sum of its proper divisors (934600566).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
470831616 is an equidigital number, since it uses as much as digits as its factorization.
470831616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11383 (or 11358 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 470831616 is about 21698.6547048429. The cubic root of 470831616 is about 777.9563067608.
The spelling of 470831616 in words is "four hundred seventy million, eight hundred thirty-one thousand, six hundred sixteen".
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