Base | Representation |
---|---|
bin | 11100000001010… |
… | …010111101000000 |
3 | 1012202120122110200 |
4 | 130001102331000 |
5 | 1430321224244 |
6 | 114351525200 |
7 | 14435541153 |
oct | 3401227500 |
9 | 1182518420 |
10 | 470101824 |
11 | 2213a6505 |
12 | 111529800 |
13 | 7651757a |
14 | 46611c9a |
15 | 2b40e669 |
hex | 1c052f40 |
470101824 has 84 divisors (see below), whose sum is σ = 1364650560. Its totient is φ = 154702080.
The previous prime is 470101817. The next prime is 470101831. The reversal of 470101824 is 428101074.
470101824 is a `hidden beast` number, since 470 + 10 + 182 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (470101817) and next prime (470101831).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40339 + ... + 50669.
It is an arithmetic number, because the mean of its divisors is an integer number (16245840).
Almost surely, 2470101824 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 470101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682325280).
470101824 is an abundant number, since it is smaller than the sum of its proper divisors (894548736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
470101824 is a wasteful number, since it uses less digits than its factorization.
470101824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10428 (or 10415 counting only the distinct ones).
The product of its (nonzero) digits is 1792, while the sum is 27.
The square root of 470101824 is about 21681.8316569426. The cubic root of 470101824 is about 777.5541531675.
Adding to 470101824 its reverse (428101074), we get a palindrome (898202898).
The spelling of 470101824 in words is "four hundred seventy million, one hundred one thousand, eight hundred twenty-four".
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