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494840416 = 2572401787
BaseRepresentation
bin11101011111101…
…010101001100000
31021111010111102211
4131133222221200
52003134343131
6121034051504
715156034300
oct3537525140
91244114384
10494840416
11234362a24
12119879b94
137b6997a5
1449a11600
152d6995b1
hex1d7eaa60

494840416 has 72 divisors (see below), whose sum is σ = 1137542616. Its totient is φ = 211276800.

The previous prime is 494840407. The next prime is 494840419. The reversal of 494840416 is 614048494.

It is a super-3 number, since 3×4948404163 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494840419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 628375 + ... + 629161.

It is an arithmetic number, because the mean of its divisors is an integer number (15799203).

Almost surely, 2494840416 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 494840416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568771308).

494840416 is an abundant number, since it is smaller than the sum of its proper divisors (642702200).

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

494840416 is a wasteful number, since it uses less digits than its factorization.

494840416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 494840416 is about 22245.0087884901. The cubic root of 494840416 is about 790.9609712646.

The spelling of 494840416 in words is "four hundred ninety-four million, eight hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 401 784 787 802 1568 1574 1604 2807 3148 3208 5509 5614 6296 6416 11018 11228 12592 12832 19649 22036 22456 25184 38563 39298 44072 44912 77126 78596 88144 89824 154252 157192 176288 308504 314384 315587 617008 628768 631174 1234016 1262348 2209109 2524696 4418218 5049392 8836436 10098784 15463763 17672872 30927526 35345744 61855052 70691488 123710104 247420208 494840416