Search a number
-
+
493247676 = 2231913715791
BaseRepresentation
bin11101011001100…
…101110010111100
31021101010120121110
4131121211302330
52002232411201
6120540002020
715136351605
oct3531456274
91241116543
10493247676
11233475309
12119230310
137b25c83c
1449718dac
152d4826d6
hex1d665cbc

493247676 has 48 divisors (see below), whose sum is σ = 1220405760. Its totient is φ = 154615680.

The previous prime is 493247659. The next prime is 493247683. The reversal of 493247676 is 676742394.

It is a super-4 number, since 4×4932476764 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23341 + ... + 39131.

It is an arithmetic number, because the mean of its divisors is an integer number (25425120).

Almost surely, 2493247676 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 493247676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610202880).

493247676 is an abundant number, since it is smaller than the sum of its proper divisors (727158084).

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

493247676 is a wasteful number, since it uses less digits than its factorization.

493247676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15954 (or 15952 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The square root of 493247676 is about 22209.1799938674. The cubic root of 493247676 is about 790.1114386405. Note that the first 3 decimals are identical.

The spelling of 493247676 in words is "four hundred ninety-three million, two hundred forty-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 411 548 822 1644 2603 5206 7809 10412 15618 15791 31236 31582 47373 63164 94746 189492 300029 600058 900087 1200116 1800174 2163367 3600348 4326734 6490101 8653468 12980202 25960404 41103973 82207946 123311919 164415892 246623838 493247676