Search a number
-
+
285045048 = 23335922367
BaseRepresentation
bin10000111111010…
…111000100111000
3201212100210022000
4100333113010320
51040432420143
644141301000
710030562061
oct2077270470
9655323260
10285045048
1113699a622
127b564760
1347092b12
1429bdd568
151a057bd3
hex10fd7138

285045048 has 64 divisors (see below), whose sum is σ = 805248000. Its totient is φ = 93400416.

The previous prime is 285045041. The next prime is 285045113. The reversal of 285045048 is 840540582.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285045041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561 + ... + 23927.

It is an arithmetic number, because the mean of its divisors is an integer number (12582000).

Almost surely, 2285045048 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 285045048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402624000).

285045048 is an abundant number, since it is smaller than the sum of its proper divisors (520202952).

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

285045048 is a wasteful number, since it uses less digits than its factorization.

285045048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22441 (or 22431 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 285045048 is about 16883.2771700283. The cubic root of 285045048 is about 658.1191076655.

It can be divided in two parts, 28 and 5045048, that added together give a triangular number (5045076 = T3176).

The spelling of 285045048 in words is "two hundred eighty-five million, forty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 4248 6372 12744 22367 44734 67101 89468 134202 178936 201303 268404 402606 536808 603909 805212 1207818 1319653 1610424 2415636 2639306 3958959 4831272 5278612 7917918 10557224 11876877 15835836 23753754 31671672 35630631 47507508 71261262 95015016 142522524 285045048