Base | Representation |
---|---|
bin | 1011001111000… |
… | …0101100001000 |
3 | 10021200002220000 |
4 | 2303300230020 |
5 | 44030420313 |
6 | 4402003000 |
7 | 1111353306 |
oct | 263605410 |
9 | 107602800 |
10 | 47123208 |
11 | 24666400 |
12 | 13946460 |
13 | 99bbb72 |
14 | 6389276 |
15 | 420c673 |
hex | 2cf0b08 |
47123208 has 120 divisors (see below), whose sum is σ = 145319790. Its totient is φ = 14256000.
The previous prime is 47123203. The next prime is 47123213. The reversal of 47123208 is 80232174.
It is an interprime number because it is at equal distance from previous prime (47123203) and next prime (47123213).
It can be written as a sum of positive squares in only one way, i.e., 32970564 + 14152644 = 5742^2 + 3762^2 .
It is a super-2 number, since 2×471232082 = 4441193464422528, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (47123203) by changing a digit.
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 29 ways as a sum of consecutive naturals, for example, 78108 + ... + 78708.
Almost surely, 247123208 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 47123208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72659895).
47123208 is an abundant number, since it is smaller than the sum of its proper divisors (98196582).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47123208 is a wasteful number, since it uses less digits than its factorization.
47123208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 641 (or 617 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 47123208 is about 6864.6345860504. The cubic root of 47123208 is about 361.1976777149.
The spelling of 47123208 in words is "forty-seven million, one hundred twenty-three thousand, two hundred eight".
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