Search a number
-
+
79328768 = 29413779
BaseRepresentation
bin1001011101001…
…11011000000000
312112021022121112
410232213120000
5130302010033
611512142452
71652166131
oct456473000
9175238545
1079328768
1140862972
1222697a28
13135869cc
14a76dc88
156e6ec48
hex4ba7600

79328768 has 40 divisors (see below), whose sum is σ = 162411480. Its totient is φ = 38686720.

The previous prime is 79328761. The next prime is 79328773. The reversal of 79328768 is 86782397.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79328761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19103 + ... + 22881.

It is an arithmetic number, because the mean of its divisors is an integer number (4060287).

Almost surely, 279328768 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 79328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81205740).

79328768 is an abundant number, since it is smaller than the sum of its proper divisors (83082712).

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

79328768 is an equidigital number, since it uses as much as digits as its factorization.

79328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3822 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 50.

The square root of 79328768 is about 8906.6698602789. The cubic root of 79328768 is about 429.6784471825.

The spelling of 79328768 in words is "seventy-nine million, three hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1312 2624 3779 5248 7558 10496 15116 20992 30232 60464 120928 154939 241856 309878 483712 619756 967424 1239512 1934848 2479024 4958048 9916096 19832192 39664384 79328768