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490319024 = 24132434217
BaseRepresentation
bin11101001110011…
…010110010110000
31021011121210020212
4131032122302300
52001010202044
6120353123252
715102433346
oct3516326260
91234553225
10490319024
11231854a38
12118259528
137a775800
1449195996
152d0a4a9e
hex1d39acb0

490319024 has 60 divisors (see below), whose sum is σ = 1052863416. Its totient is φ = 220985856.

The previous prime is 490319023. The next prime is 490319029. The reversal of 490319024 is 420913094.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (490319023) 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, 114164 + ... + 118380.

Almost surely, 2490319024 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 490319024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526431708).

490319024 is an abundant number, since it is smaller than the sum of its proper divisors (562544392).

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

490319024 is a wasteful number, since it uses less digits than its factorization.

490319024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 490319024 is about 22143.1484662864. The cubic root of 490319024 is about 788.5445744798.

The spelling of 490319024 in words is "four hundred ninety million, three hundred nineteen thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 169 172 208 338 344 559 676 688 1118 1352 2236 2704 4217 4472 7267 8434 8944 14534 16868 29068 33736 54821 58136 67472 109642 116272 181331 219284 362662 438568 712673 725324 877136 1425346 1450648 2357303 2850692 2901296 4714606 5701384 9429212 11402768 18858424 30644939 37716848 61289878 122579756 245159512 490319024