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490144 = 2517253
BaseRepresentation
bin1110111101010100000
3220220100111
41313222200
5111141034
614301104
74110664
oct1675240
9826314
10490144
11305286
121b7794
13142135
14ca8a4
159a364
hex77aa0

490144 has 36 divisors (see below), whose sum is σ = 1044414. Its totient is φ = 226304.

The previous prime is 490121. The next prime is 490151. The reversal of 490144 is 441094.

It is a happy number.

490144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 490000 + 144 = 700^2 + 12^2 .

It is a super-2 number, since 2×4901442 = 480482281472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9222 + ... + 9274.

2490144 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 490144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522207).

490144 is an abundant number, since it is smaller than the sum of its proper divisors (554270).

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

490144 is a wasteful number, since it uses less digits than its factorization.

490144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 490144 is about 700.1028495871. The cubic root of 490144 is about 78.8450737173.

The spelling of 490144 in words is "four hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 289 424 544 578 848 901 1156 1696 1802 2312 3604 4624 7208 9248 14416 15317 28832 30634 61268 122536 245072 490144