Base | Representation |
---|---|
bin | 1011001111001… |
… | …1111111101000 |
3 | 10021200210110100 |
4 | 2303303333220 |
5 | 44031333434 |
6 | 4402145400 |
7 | 1111440624 |
oct | 263637750 |
9 | 107623410 |
10 | 47136744 |
11 | 24675596 |
12 | 13952260 |
13 | 99c5085 |
14 | 6390184 |
15 | 4211699 |
hex | 2cf3fe8 |
47136744 has 48 divisors (see below), whose sum is σ = 128402820. Its totient is φ = 15621120.
The previous prime is 47136743. The next prime is 47136751. The reversal of 47136744 is 44763174.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 27688644 + 19448100 = 5262^2 + 4410^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 47136699 and 47136708.
It is not an unprimeable number, because it can be changed into a prime (47136743) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 11224 + ... + 14840.
Almost surely, 247136744 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 47136744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64201410).
47136744 is an abundant number, since it is smaller than the sum of its proper divisors (81266076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47136744 is a wasteful number, since it uses less digits than its factorization.
47136744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3810 (or 3803 counting only the distinct ones).
The product of its digits is 56448, while the sum is 36.
The square root of 47136744 is about 6865.6204380959. The cubic root of 47136744 is about 361.2322587201.
The spelling of 47136744 in words is "forty-seven million, one hundred thirty-six thousand, seven hundred forty-four".
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