Base | Representation |
---|---|
bin | 1011010001111… |
… | …0110001010000 |
3 | 10022000200210112 |
4 | 2310132301100 |
5 | 44102440302 |
6 | 4410020452 |
7 | 1113100502 |
oct | 264366120 |
9 | 108020715 |
10 | 47311952 |
11 | 24785196 |
12 | 13a17728 |
13 | 9a56a4c |
14 | 63d7d72 |
15 | 4248552 |
hex | 2d1ec50 |
47311952 has 60 divisors (see below), whose sum is σ = 100845108. Its totient is φ = 21427200.
The previous prime is 47311951. The next prime is 47311967. The reversal of 47311952 is 25911374.
It can be written as a sum of positive squares in 2 ways, for example, as 14776336 + 32535616 = 3844^2 + 5704^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47311951) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261302 + ... + 261482.
Almost surely, 247311952 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 47311952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50422554).
47311952 is an abundant number, since it is smaller than the sum of its proper divisors (53533156).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47311952 is a wasteful number, since it uses less digits than its factorization.
47311952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 268 (or 231 counting only the distinct ones).
The product of its digits is 7560, while the sum is 32.
The square root of 47311952 is about 6878.3684111859. The cubic root of 47311952 is about 361.6792739369.
The spelling of 47311952 in words is "forty-seven million, three hundred eleven thousand, nine hundred fifty-two".
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