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494452900 = 225229533217
BaseRepresentation
bin11101011110001…
…100000010100100
31021110101210212101
4131132030002210
52003034443100
6121021501444
715152531434
oct3536140244
91243353771
10494452900
11234118867
12119711884
137b5922a6
14499502c4
152d61e86a
hex1d78c0a4

494452900 has 72 divisors (see below), whose sum is σ = 1131255720. Its totient is φ = 187299840.

The previous prime is 494452897. The next prime is 494452921. The reversal of 494452900 is 9254494.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 14930496 + 479522404 = 3864^2 + 21898^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 494452900.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 152092 + ... + 155308.

It is an arithmetic number, because the mean of its divisors is an integer number (15711885).

Almost surely, 2494452900 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 494452900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565627860).

494452900 is an abundant number, since it is smaller than the sum of its proper divisors (636802820).

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

494452900 is a wasteful number, since it uses less digits than its factorization.

494452900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 494452900 is about 22236.2969039361. The cubic root of 494452900 is about 790.7544467183.

The spelling of 494452900 in words is "four hundred ninety-four million, four hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 53 58 100 106 116 145 212 265 290 530 580 725 1060 1325 1450 1537 2650 2900 3074 3217 5300 6148 6434 7685 12868 15370 16085 30740 32170 38425 64340 76850 80425 93293 153700 160850 170501 186586 321700 341002 373172 466465 682004 852505 932930 1705010 1865860 2332325 3410020 4262525 4664650 4944529 8525050 9329300 9889058 17050100 19778116 24722645 49445290 98890580 123613225 247226450 494452900