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490099600 = 24524392791
BaseRepresentation
bin11101001101100…
…101001110010000
31021011012122021001
4131031211032100
52000431141400
6120344311344
715100530544
oct3515451620
91234178231
10490099600
112317150a1
12118172554
137a6c9983
1449139a24
152d05ea6a
hex1d365390

490099600 has 60 divisors (see below), whose sum is σ = 1180569280. Its totient is φ = 195523200.

The previous prime is 490099541. The next prime is 490099601. The reversal of 490099600 is 6990094.

It is a self number, because there is not a number n which added to its sum of digits gives 490099600.

It is not an unprimeable number, because it can be changed into a prime (490099601) 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, 174205 + ... + 176995.

Almost surely, 2490099600 is an apocalyptic number.

490099600 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 490099600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590284640).

490099600 is an abundant number, since it is smaller than the sum of its proper divisors (690469680).

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

490099600 is a wasteful number, since it uses less digits than its factorization.

490099600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 490099600 is about 22138.1932415453. The cubic root of 490099600 is about 788.4269290197.

The spelling of 490099600 in words is "four hundred ninety million, ninety-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 439 878 1756 2195 2791 3512 4390 5582 7024 8780 10975 11164 13955 17560 21950 22328 27910 35120 43900 44656 55820 69775 87800 111640 139550 175600 223280 279100 558200 1116400 1225249 2450498 4900996 6126245 9801992 12252490 19603984 24504980 30631225 49009960 61262450 98019920 122524900 245049800 490099600