Search a number
-
+
492479792 = 24721733631
BaseRepresentation
bin11101010110101…
…010010100110000
31021022200120021022
4131112222110300
52002033323132
6120511315012
715130003100
oct3526522460
91238616238
10492479792
11232aa03a2
12118b1ba68
137b05117c
1449599200
152d37ee12
hex1d5aa530

492479792 has 60 divisors (see below), whose sum is σ = 1116687456. Its totient is φ = 209784960.

The previous prime is 492479789. The next prime is 492479797. The reversal of 492479792 is 297974294.

It is not an unprimeable number, because it can be changed into a prime (492479797) 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, 133817 + ... + 137447.

Almost surely, 2492479792 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 492479792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558343728).

492479792 is an abundant number, since it is smaller than the sum of its proper divisors (624207664).

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

492479792 is a wasteful number, since it uses less digits than its factorization.

492479792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3813 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 53.

The square root of 492479792 is about 22191.8857242912. The cubic root of 492479792 is about 789.7012126516.

The spelling of 492479792 in words is "four hundred ninety-two million, four hundred seventy-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 173 196 346 392 692 784 1211 1384 2422 2768 3631 4844 7262 8477 9688 14524 16954 19376 25417 29048 33908 50834 58096 67816 101668 135632 177919 203336 355838 406672 628163 711676 1256326 1423352 2512652 2846704 4397141 5025304 8794282 10050608 17588564 30779987 35177128 61559974 70354256 123119948 246239896 492479792