Search a number
-
+
492604416 = 210345939
BaseRepresentation
bin11101010111001…
…000110000000000
31021022220220020000
4131113020300000
52002101320131
6120514120000
715131032323
oct3527106000
91238826200
10492604416
11233075a97
12118b80000
137b095b05
14495cc7ba
152d3a6ce6
hex1d5c8c00

492604416 has 110 divisors (see below), whose sum is σ = 1471260780. Its totient is φ = 164173824.

The previous prime is 492604397. The next prime is 492604417. The reversal of 492604416 is 614406294.

492604416 is a `hidden beast` number, since 4 + 9 + 2 + 604 + 41 + 6 = 666.

It is a super-2 number, since 2×4926044162 = 485318221325402112, which contains 22 as substring.

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 (492604417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79975 + ... + 85913.

It is an arithmetic number, because the mean of its divisors is an integer number (13375098).

Almost surely, 2492604416 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 492604416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735630390).

492604416 is an abundant number, since it is smaller than the sum of its proper divisors (978656364).

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

492604416 is an equidigital number, since it uses as much as digits as its factorization.

492604416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 492604416 is about 22194.6934198245. The cubic root of 492604416 is about 789.7678193938.

The spelling of 492604416 in words is "four hundred ninety-two million, six hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 5939 6912 9216 10368 11878 13824 17817 20736 23756 27648 35634 41472 47512 53451 71268 82944 95024 106902 142536 160353 190048 213804 285072 320706 380096 427608 481059 570144 641412 760192 855216 962118 1140288 1282824 1520384 1710432 1924236 2280576 2565648 3040768 3420864 3848472 4561152 5131296 6081536 6841728 7696944 9122304 10262592 13683456 15393888 18244608 20525184 27366912 30787776 41050368 54733824 61575552 82100736 123151104 164201472 246302208 492604416