Base | Representation |
---|---|
bin | 110101111100011… |
… | …110110000010000 |
3 | 2100002000011011100 |
4 | 311330132300100 |
5 | 3323143001211 |
6 | 225450144400 |
7 | 31266526104 |
oct | 6574366020 |
9 | 2302004140 |
10 | 905047056 |
11 | 42496a281 |
12 | 213122100 |
13 | 115672a04 |
14 | 882b1904 |
15 | 546c7156 |
hex | 35f1ec10 |
905047056 has 135 divisors (see below), whose sum is σ = 2672302269. Its totient is φ = 285918336.
The previous prime is 905047019. The next prime is 905047063. The reversal of 905047056 is 650740509.
The square root of 905047056 is 30084.
It is a perfect power (a square), and thus also a powerful number.
905047056 is a `hidden beast` number, since 90 + 50 + 470 + 56 = 666.
905047056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 630813456 + 274233600 = 25116^2 + 16560^2 .
It is a super-2 number, since 2×9050470562 = 1638220347148534272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 905047056.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8303130 + ... + 8303238.
Almost surely, 2905047056 is an apocalyptic number.
905047056 is the 30084-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 905047056
905047056 is an abundant number, since it is smaller than the sum of its proper divisors (1767255213).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
905047056 is a wasteful number, since it uses less digits than its factorization.
905047056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 278 (or 137 counting only the distinct ones).
The product of its (nonzero) digits is 37800, while the sum is 36.
The cubic root of 905047056 is about 967.2907914533.
Multiplying 905047056 by its sum of digits (36), we get a square (32581694016 = 1805042).
905047056 divided by its sum of digits (36) gives a square (25140196 = 50142).
The spelling of 905047056 in words is "nine hundred five million, forty-seven thousand, fifty-six".
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