Search a number
-
+
48816438 = 231143103167
BaseRepresentation
bin1011101000111…
…0000100110110
310101212010120020
42322032010312
544444111223
64502150010
71131634656
oct272160466
9111763506
1048816438
1125612570
1214422306
13a162788
1466aa366
1544441e3
hex2e8e136

48816438 has 64 divisors (see below), whose sum is σ = 110702592. Its totient is φ = 14222880.

The previous prime is 48816407. The next prime is 48816457. The reversal of 48816438 is 83461884.

48816438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48816438.

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 31 ways as a sum of consecutive naturals, for example, 292231 + ... + 292397.

It is an arithmetic number, because the mean of its divisors is an integer number (1729728).

Almost surely, 248816438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48816438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55351296).

48816438 is an abundant number, since it is smaller than the sum of its proper divisors (61886154).

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

48816438 is a wasteful number, since it uses less digits than its factorization.

48816438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329.

The product of its digits is 147456, while the sum is 42.

The square root of 48816438 is about 6986.8761259951. The cubic root of 48816438 is about 365.4730539937.

The spelling of 48816438 in words is "forty-eight million, eight hundred sixteen thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 43 66 86 103 129 167 206 258 309 334 473 501 618 946 1002 1133 1419 1837 2266 2838 3399 3674 4429 5511 6798 7181 8858 11022 13287 14362 17201 21543 26574 34402 43086 48719 51603 78991 97438 103206 146157 157982 189211 236973 292314 378422 473946 567633 739643 1135266 1479286 2218929 4437858 8136073 16272146 24408219 48816438