Search a number
-
+
284850 = 23352211
BaseRepresentation
bin1000101100010110010
3112110202000
41011202302
533103400
610034430
72264316
oct1054262
9473660
10284850
11185015
12118a16
139c867
1475b46
1559600
hex458b2

284850 has 48 divisors (see below), whose sum is σ = 788640. Its totient is φ = 75600.

The previous prime is 284839. The next prime is 284857. The reversal of 284850 is 58482.

It is a super-2 number, since 2×2848502 = 162279045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (284857) by changing a digit.

284850 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (16430).

2284850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394320).

284850 is an abundant number, since it is smaller than the sum of its proper divisors (503790).

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

284850 is a wasteful number, since it uses less digits than its factorization.

284850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 284850 is about 533.7134062397. The cubic root of 284850 is about 65.7968962853.

The spelling of 284850 in words is "two hundred eighty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 211 225 270 422 450 633 675 1055 1266 1350 1899 2110 3165 3798 5275 5697 6330 9495 10550 11394 15825 18990 28485 31650 47475 56970 94950 142425 284850