Base | Representation |
---|---|
bin | 1011010001110… |
… | …1010100010000 |
3 | 10022000101122002 |
4 | 2310131110100 |
5 | 44102243000 |
6 | 4405533132 |
7 | 1113044240 |
oct | 264352420 |
9 | 108011562 |
10 | 47306000 |
11 | 24780775 |
12 | 13a141a8 |
13 | 9a54121 |
14 | 63d5b20 |
15 | 42468d5 |
hex | 2d1d510 |
47306000 has 160 divisors (see below), whose sum is σ = 136181760. Its totient is φ = 15552000.
The previous prime is 47305961. The next prime is 47306003. The reversal of 47306000 is 60374.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (47306003) 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 31 ways as a sum of consecutive naturals, for example, 433946 + ... + 434054.
It is an arithmetic number, because the mean of its divisors is an integer number (851136).
Almost surely, 247306000 is an apocalyptic number.
47306000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68090880).
47306000 is an abundant number, since it is smaller than the sum of its proper divisors (88875760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47306000 is a wasteful number, since it uses less digits than its factorization.
47306000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170 (or 154 counting only the distinct ones).
The product of its (nonzero) digits is 504, while the sum is 20.
The square root of 47306000 is about 6877.9357368327. The cubic root of 47306000 is about 361.6641064847.
Adding to 47306000 its reverse (60374), we get a palindrome (47366374).
The spelling of 47306000 in words is "forty-seven million, three hundred six thousand".
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