Search a number
-
+
48355568 = 24231011301
BaseRepresentation
bin1011100001110…
…1100011110000
310100222201100222
42320131203300
544334334233
64444232212
71125005222
oct270354360
9110881328
1048355568
1125328288
121423b668
13a030a81
1465ca412
1543a2898
hex2e1d8f0

48355568 has 40 divisors (see below), whose sum is σ = 98806176. Its totient is φ = 22880000.

The previous prime is 48355537. The next prime is 48355577. The reversal of 48355568 is 86555384.

48355568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 36518 + ... + 37818.

Almost surely, 248355568 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 48355568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49403088).

48355568 is an abundant number, since it is smaller than the sum of its proper divisors (50450608).

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

48355568 is a wasteful number, since it uses less digits than its factorization.

48355568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1427 counting only the distinct ones).

The product of its digits is 576000, while the sum is 44.

The square root of 48355568 is about 6953.8167936753. The cubic root of 48355568 is about 364.3192867321.

The spelling of 48355568 in words is "forty-eight million, three hundred fifty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 23 46 92 101 184 202 368 404 808 1301 1616 2323 2602 4646 5204 9292 10408 18584 20816 29923 37168 59846 119692 131401 239384 262802 478768 525604 1051208 2102416 3022223 6044446 12088892 24177784 48355568