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490248 = 233211619
BaseRepresentation
bin1110111101100001000
3220220111100
41313230020
5111141443
614301400
74111203
oct1675410
9826440
10490248
11305370
121b7860
131421b5
14ca93a
159a3d3
hex77b08

490248 has 48 divisors (see below), whose sum is σ = 1450800. Its totient is φ = 148320.

The previous prime is 490247. The next prime is 490249. The reversal of 490248 is 842094.

490248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (490247) and next prime (490249).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 490248.

It is not an unprimeable number, because it can be changed into a prime (490241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (30225).

2490248 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 490248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725400).

490248 is an abundant number, since it is smaller than the sum of its proper divisors (960552).

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

490248 is a wasteful number, since it uses less digits than its factorization.

490248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 490248 is about 700.1771204488. The cubic root of 490248 is about 78.8506498390.

It can be divided in two parts, 4902 and 48, that added together give a triangular number (4950 = T99).

The spelling of 490248 in words is "four hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 619 792 1238 1857 2476 3714 4952 5571 6809 7428 11142 13618 14856 20427 22284 27236 40854 44568 54472 61281 81708 122562 163416 245124 490248