Base | Representation |
---|---|
bin | 1011001101001… |
… | …1111111000000 |
3 | 10021110010121100 |
4 | 2303103333000 |
5 | 44013140012 |
6 | 4355254400 |
7 | 1110353442 |
oct | 263237700 |
9 | 107403540 |
10 | 47005632 |
11 | 24596033 |
12 | 138aa400 |
13 | 997a4ab |
14 | 6358492 |
15 | 41d78dc |
hex | 2cd3fc0 |
47005632 has 84 divisors (see below), whose sum is σ = 136570720. Its totient is φ = 15455232.
The previous prime is 47005631. The next prime is 47005633. The reversal of 47005632 is 23650074.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (47005631) and next prime (47005633).
It is a junction number, because it is equal to n+sod(n) for n = 47005596 and 47005605.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47005631) 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, 44988 + ... + 46020.
Almost surely, 247005632 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 47005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68285360).
47005632 is an abundant number, since it is smaller than the sum of its proper divisors (89565088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47005632 is a wasteful number, since it uses less digits than its factorization.
47005632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1130 (or 1117 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 27.
The square root of 47005632 is about 6856.0653439126. The cubic root of 47005632 is about 360.8970222668.
The spelling of 47005632 in words is "forty-seven million, five thousand, six hundred thirty-two".
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