Search a number
-
+
493835319 = 33149122753
BaseRepresentation
bin11101011011110…
…101010000110111
31021102020102201000
4131123311100313
52002410212234
6121000334343
715144350055
oct3533652067
91242212630
10493835319
1123383686a
121194743b3
137b407163
144982d1d5
152d54b899
hex1d6f5437

493835319 has 16 divisors (see below), whose sum is σ = 736524000. Its totient is φ = 327011328.

The previous prime is 493835299. The next prime is 493835333. The reversal of 493835319 is 913538394.

It is not a de Polignac number, because 493835319 - 213 = 493827127 is a prime.

It is a super-4 number, since 4×4938353194 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493835219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57354 + ... + 65399.

It is an arithmetic number, because the mean of its divisors is an integer number (46032750).

Almost surely, 2493835319 is an apocalyptic number.

493835319 is a deficient number, since it is larger than the sum of its proper divisors (242688681).

493835319 is a wasteful number, since it uses less digits than its factorization.

493835319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122911 (or 122905 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 493835319 is about 22222.4057878529. The cubic root of 493835319 is about 790.4250871476.

The spelling of 493835319 in words is "four hundred ninety-three million, eight hundred thirty-five thousand, three hundred nineteen".

Divisors: 1 3 9 27 149 447 1341 4023 122753 368259 1104777 3314331 18290197 54870591 164611773 493835319