Search a number
-
+
490050 = 23452112
BaseRepresentation
bin1110111101001000010
3220220020000
41313221002
5111140200
614300430
74110501
oct1675102
9826200
10490050
11305200
121b7716
13142092
14ca838
159a300
hex77a42

490050 has 90 divisors (see below), whose sum is σ = 1496649. Its totient is φ = 118800.

The previous prime is 490033. The next prime is 490057. The reversal of 490050 is 50094.

It can be written as a sum of positive squares in 2 ways, for example, as 480249 + 9801 = 693^2 + 99^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=495.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 490050.

It is not an unprimeable number, because it can be changed into a prime (490057) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44545 + ... + 44555.

2490050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490050

490050 is an abundant number, since it is smaller than the sum of its proper divisors (1006599).

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

490050 is a wasteful number, since it uses less digits than its factorization.

490050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 490050 is about 700.0357133747. The cubic root of 490050 is about 78.8400330824.

Multiplying 490050 by its sum of digits (18), we get a square (8820900 = 29702).

490050 divided by its sum of digits (18) gives a square (27225 = 1652).

It can be divided in two parts, 4900 and 50, that added together give a triangular number (4950 = T99).

The spelling of 490050 in words is "four hundred ninety thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 81 90 99 110 121 135 150 162 165 198 225 242 270 275 297 330 363 405 450 495 550 594 605 675 726 810 825 891 990 1089 1210 1350 1485 1650 1782 1815 2025 2178 2475 2970 3025 3267 3630 4050 4455 4950 5445 6050 6534 7425 8910 9075 9801 10890 14850 16335 18150 19602 22275 27225 32670 44550 49005 54450 81675 98010 163350 245025 490050