Search a number
-
+
493425768 = 233116133049
BaseRepresentation
bin11101011010010…
…001010001101000
31021101110121220110
4131122101101220
52002304111033
6120543454320
715141023043
oct3532212150
91241417813
10493425768
112335870a0
121192b73a0
137b2c2914
1449763c5a
152d4ba363
hex1d691468

493425768 has 64 divisors (see below), whose sum is σ = 1348344000. Its totient is φ = 149230080.

The previous prime is 493425727. The next prime is 493425769. The reversal of 493425768 is 867524394.

It is not an unprimeable number, because it can be changed into a prime (493425769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160308 + ... + 163356.

It is an arithmetic number, because the mean of its divisors is an integer number (21067875).

Almost surely, 2493425768 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 493425768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674172000).

493425768 is an abundant number, since it is smaller than the sum of its proper divisors (854918232).

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

493425768 is a wasteful number, since it uses less digits than its factorization.

493425768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3678 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 493425768 is about 22213.1890551537. The cubic root of 493425768 is about 790.2065197403.

The spelling of 493425768 in words is "four hundred ninety-three million, four hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 613 1226 1839 2452 3049 3678 4904 6098 6743 7356 9147 12196 13486 14712 18294 20229 24392 26972 33539 36588 40458 53944 67078 73176 80916 100617 134156 161832 201234 268312 402468 804936 1869037 3738074 5607111 7476148 11214222 14952296 20559407 22428444 41118814 44856888 61678221 82237628 123356442 164475256 246712884 493425768