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47634848 = 253121549
BaseRepresentation
bin1011010110110…
…1100110100000
310022122002201122
42311231212200
544143303343
64420551412
71115614052
oct265554640
9108562648
1047634848
1124985848
1213b52568
139b3aa01
14647d8d2
1542ae068
hex2d6d9a0

47634848 has 36 divisors (see below), whose sum is σ = 96966450. Its totient is φ = 23034240.

The previous prime is 47634809. The next prime is 47634869. The reversal of 47634848 is 84843674.

47634848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43191184 + 4443664 = 6572^2 + 2108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47634799 and 47634808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29978 + ... + 31526.

Almost surely, 247634848 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 47634848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48483225).

47634848 is an abundant number, since it is smaller than the sum of its proper divisors (49331602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47634848 is a wasteful number, since it uses less digits than its factorization.

47634848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1582 counting only the distinct ones).

The product of its digits is 516096, while the sum is 44.

The square root of 47634848 is about 6901.8003448376. The cubic root of 47634848 is about 362.5002089575.

The spelling of 47634848 in words is "forty-seven million, six hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1549 1922 3098 3844 6196 7688 12392 15376 24784 30752 48019 49568 96038 192076 384152 768304 1488589 1536608 2977178 5954356 11908712 23817424 47634848