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494920008 = 233211256809
BaseRepresentation
bin11101011111111…
…110000101001000
31021111021112121200
4131133332011020
52003144420013
6121035504200
715156515322
oct3537760510
91244245550
10494920008
11234407800
121198b8060
137b6c6a9b
1449a32612
152d6b2e73
hex1d7fe148

494920008 has 72 divisors (see below), whose sum is σ = 1473367350. Its totient is φ = 149973120.

The previous prime is 494920007. The next prime is 494920051. The reversal of 494920008 is 800029494.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 494706564 + 213444 = 22242^2 + 462^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (494920001) 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 17 ways as a sum of consecutive naturals, for example, 19693 + ... + 37116.

Almost surely, 2494920008 is an apocalyptic number.

It is an amenable number.

494920008 is an abundant number, since it is smaller than the sum of its proper divisors (978447342).

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

494920008 is a wasteful number, since it uses less digits than its factorization.

494920008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56843 (or 56825 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 494920008 is about 22246.7977021413. The cubic root of 494920008 is about 791.0033760404.

The spelling of 494920008 in words is "four hundred ninety-four million, nine hundred twenty thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 56809 113618 170427 227236 340854 454472 511281 624899 681708 1022562 1249798 1363416 1874697 2045124 2499596 3749394 4090248 4999192 5624091 6873889 7498788 11248182 13747778 14997576 20621667 22496364 27495556 41243334 44992728 54991112 61865001 82486668 123730002 164973336 247460004 494920008