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494646624 = 253214911527
BaseRepresentation
bin11101011110111…
…011010101100000
31021110202122121100
4131132323111200
52003112142444
6121025554400
715154266303
oct3536732540
91243678540
10494646624
1123424036a
121197a5a00
137b62c514
14499a0b3a
152d65be69
hex1d7bb560

494646624 has 72 divisors (see below), whose sum is σ = 1416214800. Its totient is φ = 163761408.

The previous prime is 494646623. The next prime is 494646629. The reversal of 494646624 is 426646494.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 494646624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494646623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37149 + ... + 48675.

It is an arithmetic number, because the mean of its divisors is an integer number (19669650).

Almost surely, 2494646624 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 494646624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708107400).

494646624 is an abundant number, since it is smaller than the sum of its proper divisors (921568176).

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

494646624 is a wasteful number, since it uses less digits than its factorization.

494646624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692 (or 11681 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 494646624 is about 22240.6525084135. The cubic root of 494646624 is about 790.8577043543.

The spelling of 494646624 in words is "four hundred ninety-four million, six hundred forty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 894 1192 1341 1788 2384 2682 3576 4768 5364 7152 10728 11527 14304 21456 23054 34581 42912 46108 69162 92216 103743 138324 184432 207486 276648 368864 414972 553296 829944 1106592 1659888 1717523 3319776 3435046 5152569 6870092 10305138 13740184 15457707 20610276 27480368 30915414 41220552 54960736 61830828 82441104 123661656 164882208 247323312 494646624