Base | Representation |
---|---|
bin | 1011001111011… |
… | …0111110111000 |
3 | 10021201102020200 |
4 | 2303312332320 |
5 | 44032231414 |
6 | 4402322200 |
7 | 1111521411 |
oct | 263667670 |
9 | 107642220 |
10 | 47148984 |
11 | 24683803 |
12 | 13959360 |
13 | 99ca80c |
14 | 6394808 |
15 | 4215109 |
hex | 2cf6fb8 |
47148984 has 96 divisors (see below), whose sum is σ = 132852720. Its totient is φ = 15095808.
The previous prime is 47148979. The next prime is 47149033. The reversal of 47148984 is 48984174.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300234 + ... + 300390.
Almost surely, 247148984 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 47148984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66426360).
47148984 is an abundant number, since it is smaller than the sum of its proper divisors (85703736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47148984 is a wasteful number, since it uses less digits than its factorization.
47148984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 309 (or 302 counting only the distinct ones).
The product of its digits is 258048, while the sum is 45.
The square root of 47148984 is about 6866.5117781884. The cubic root of 47148984 is about 361.2635230787.
It can be divided in two parts, 471 and 48984, that added together give a triangular number (49455 = T314).
The spelling of 47148984 in words is "forty-seven million, one hundred forty-eight thousand, nine hundred eighty-four".
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