Base | Representation |
---|---|
bin | 1011011000011… |
… | …1110001001000 |
3 | 10022211112202010 |
4 | 2312013301020 |
5 | 44210221044 |
6 | 4423135520 |
7 | 1116541401 |
oct | 266076110 |
9 | 108745663 |
10 | 47742024 |
11 | 24a49320 |
12 | 13ba45a0 |
13 | 9b77725 |
14 | 64aa9a8 |
15 | 42d0bb9 |
hex | 2d87c48 |
47742024 has 64 divisors (see below), whose sum is σ = 131019840. Its totient is φ = 14376960.
The previous prime is 47742011. The next prime is 47742031. The reversal of 47742024 is 42024774.
It is a junction number, because it is equal to n+sod(n) for n = 47741982 and 47742000.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50484 + ... + 51420.
It is an arithmetic number, because the mean of its divisors is an integer number (2047185).
Almost surely, 247742024 is an apocalyptic number.
47742024 is a gapful number since it is divisible by the number (44) 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 47742024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65509920).
47742024 is an abundant number, since it is smaller than the sum of its proper divisors (83277816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47742024 is a wasteful number, since it uses less digits than its factorization.
47742024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1150 (or 1146 counting only the distinct ones).
The product of its (nonzero) digits is 12544, while the sum is 30.
The square root of 47742024 is about 6909.5603333353. The cubic root of 47742024 is about 362.7718743632.
Adding to 47742024 its reverse (42024774), we get a palindrome (89766798).
The spelling of 47742024 in words is "forty-seven million, seven hundred forty-two thousand, twenty-four".
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