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494250016 = 25132953773
BaseRepresentation
bin11101011101011…
…010100000100000
31021110000111120011
4131131122200200
52003012000031
6121013254304
715151025101
oct3535324040
91243014504
10494250016
11233a9a397
12119634394
137b520b40
14498da3a8
152d5ce6b1
hex1d75a820

494250016 has 96 divisors (see below), whose sum is σ = 1105922160. Its totient is φ = 215814144.

The previous prime is 494250011. The next prime is 494250023. The reversal of 494250016 is 610052494.

It can be written as a sum of positive squares in 8 ways, for example, as 94090000 + 400160016 = 9700^2 + 20004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 494250016.

It is not an unprimeable number, because it can be changed into a prime (494250011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639006 + ... + 639778.

Almost surely, 2494250016 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 494250016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552961080).

494250016 is an abundant number, since it is smaller than the sum of its proper divisors (611672144).

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

494250016 is a wasteful number, since it uses less digits than its factorization.

494250016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 494250016 is about 22231.7344352617. The cubic root of 494250016 is about 790.6462777549.

The spelling of 494250016 in words is "four hundred ninety-four million, two hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 29 32 52 53 58 104 106 116 208 212 232 377 416 424 464 689 754 773 848 928 1378 1508 1537 1546 1696 2756 3016 3074 3092 5512 6032 6148 6184 10049 11024 12064 12296 12368 19981 20098 22048 22417 24592 24736 39962 40196 40969 44834 49184 79924 80392 81938 89668 159848 160784 163876 179336 291421 319696 321568 327752 358672 532597 582842 639392 655504 717344 1065194 1165684 1188101 1311008 2130388 2331368 2376202 4260776 4662736 4752404 8521552 9325472 9504808 15445313 17043104 19009616 30890626 38019232 61781252 123562504 247125008 494250016