Search a number
-
+
6682976224 = 252938563
BaseRepresentation
bin1100011100101011…
…00001111111100000
3122020202012100220221
412032111201333200
5102141320214344
63023051212424
7324416234461
oct61625417740
918222170827
106682976224
11291a402a51
121366147114
13826727602
144757d4d68
15291a96184
hex18e561fe0

6682976224 has 48 divisors (see below), whose sum is σ = 13628578320. Its totient is φ = 3225887616.

The previous prime is 6682976219. The next prime is 6682976227. The reversal of 6682976224 is 4226792866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6682976227) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 776167 + ... + 784729.

It is an arithmetic number, because the mean of its divisors is an integer number (283928715).

Almost surely, 26682976224 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 6682976224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814289160).

6682976224 is an abundant number, since it is smaller than the sum of its proper divisors (6945602096).

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

6682976224 is an frugal number, since it uses more digits than its factorization.

6682976224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8660 (or 8594 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The square root of 6682976224 is about 81749.4723163398. The cubic root of 6682976224 is about 1883.6055959812.

The spelling of 6682976224 in words is "six billion, six hundred eighty-two million, nine hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1682 3364 6728 8563 13456 17126 24389 26912 34252 48778 68504 97556 137008 195112 248327 274016 390224 496654 780448 993308 1986616 3973232 7201483 7946464 14402966 28805932 57611864 115223728 208843007 230447456 417686014 835372028 1670744056 3341488112 6682976224