Search a number
-
+
494595072 = 210346789
BaseRepresentation
bin11101011110101…
…110110000000000
31021110200000220000
4131132232300000
52003104020242
6121024520000
715153663066
oct3536566000
91243600800
10494595072
11234205664
12119780000
137b611c0a
144998a036
152d64ba4c
hex1d7aec00

494595072 has 220 divisors, whose sum is σ = 1515844440. Its totient is φ = 160579584.

The previous prime is 494595041. The next prime is 494595077. The reversal of 494595072 is 270595494.

494595072 is a `hidden beast` number, since 4 + 94 + 59 + 507 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (494595077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5557204 + ... + 5557292.

It is an arithmetic number, because the mean of its divisors is an integer number (6890202).

Almost surely, 2494595072 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 494595072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757922220).

494595072 is an abundant number, since it is smaller than the sum of its proper divisors (1021249368).

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

494595072 is an equidigital number, since it uses as much as digits as its factorization.

494595072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 494595072 is about 22239.4935194127. The cubic root of 494595072 is about 790.8302290410.

It can be divided in two parts, 4 and 94595072, that added together give a square (94595076 = 97262).

The spelling of 494595072 in words is "four hundred ninety-four million, five hundred ninety-five thousand, seventy-two".