Search a number
-
+
285148048 = 241937101251
BaseRepresentation
bin10000111111110…
…000001110010000
3201212120000120211
4100333300032100
51040444214143
644143413504
710031501263
oct2077601620
9655500524
10285148048
11136a5aa49
127b5b4294
13470ca973
1429c28cda
151a07849d
hex10ff0390

285148048 has 80 divisors (see below), whose sum is σ = 605586240. Its totient is φ = 129600000.

The previous prime is 285148037. The next prime is 285148049. The reversal of 285148048 is 840841582.

285148048 is digitally balanced in base 3, 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 285148048.

It is not an unprimeable number, because it can be changed into a prime (285148049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1135923 + ... + 1136173.

It is an arithmetic number, because the mean of its divisors is an integer number (7569828).

Almost surely, 2285148048 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 285148048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302793120).

285148048 is an abundant number, since it is smaller than the sum of its proper divisors (320438192).

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

285148048 is a wasteful number, since it uses less digits than its factorization.

285148048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 285148048 is about 16886.3272501749. The cubic root of 285148048 is about 658.1983677748.

The spelling of 285148048 in words is "two hundred eighty-five million, one hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 19 37 38 74 76 101 148 152 202 251 296 304 404 502 592 703 808 1004 1406 1616 1919 2008 2812 3737 3838 4016 4769 5624 7474 7676 9287 9538 11248 14948 15352 18574 19076 25351 29896 30704 37148 38152 50702 59792 71003 74296 76304 101404 142006 148592 176453 202808 284012 352906 405616 481669 568024 705812 937987 963338 1136048 1411624 1875974 1926676 2823248 3751948 3853352 7503896 7706704 15007792 17821753 35643506 71287012 142574024 285148048