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490448600 = 235212719309
BaseRepresentation
bin11101001110111…
…010011011011000
31021011212100222222
4131032322123120
52001023323400
6120400003212
715103513205
oct3516723330
91234770888
10490448600
11231933324
12118300508
137a7bc795
14491cacac
152d0cd185
hex1d3ba6d8

490448600 has 48 divisors (see below), whose sum is σ = 1149331200. Its totient is φ = 194624640.

The previous prime is 490448593. The next prime is 490448603. The reversal of 490448600 is 6844094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490448603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15746 + ... + 35054.

It is an arithmetic number, because the mean of its divisors is an integer number (23944400).

Almost surely, 2490448600 is an apocalyptic number.

490448600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490448600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574665600).

490448600 is an abundant number, since it is smaller than the sum of its proper divisors (658882600).

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

490448600 is a wasteful number, since it uses less digits than its factorization.

490448600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19452 (or 19443 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 490448600 is about 22146.0741441909. The cubic root of 490448600 is about 788.6140309272.

The spelling of 490448600 in words is "four hundred ninety million, four hundred forty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 1016 1270 2540 3175 5080 6350 12700 19309 25400 38618 77236 96545 154472 193090 386180 482725 772360 965450 1930900 2452243 3861800 4904486 9808972 12261215 19617944 24522430 49044860 61306075 98089720 122612150 245224300 490448600