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494286912 = 26327283211
BaseRepresentation
bin11101011101100…
…011100001000000
31021110002101011200
4131131203201000
52003014140122
6121014141200
715151240500
oct3535434100
91243071150
10494286912
11234015089
12119651800
137b534882
1449909a00
152d5da5ac
hex1d763840

494286912 has 252 divisors, whose sum is σ = 1675857456. Its totient is φ = 138862080.

The previous prime is 494286911. The next prime is 494286913. The reversal of 494286912 is 219682494.

It is an interprime number because it is at equal distance from previous prime (494286911) and next prime (494286913).

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (494286911) 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 35 ways as a sum of consecutive naturals, for example, 2342487 + ... + 2342697.

It is an arithmetic number, because the mean of its divisors is an integer number (6650228).

Almost surely, 2494286912 is an apocalyptic number.

494286912 is a gapful number since it is divisible by the number (42) 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 494286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837928728).

494286912 is an abundant number, since it is smaller than the sum of its proper divisors (1181570544).

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

494286912 is a wasteful number, since it uses less digits than its factorization.

494286912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 494286912 is about 22232.5642245783. The cubic root of 494286912 is about 790.6659513062.

The spelling of 494286912 in words is "four hundred ninety-four million, two hundred eighty-six thousand, nine hundred twelve".