Search a number
-
+
74889828 = 223213179413
BaseRepresentation
bin1000111011010…
…11101001100100
312012220210112100
410131223221210
5123132433303
611233052100
71566360456
oct435535144
9165823470
1074889828
1139300922
12210b7030
1312691410
149d362d6
1568948a3
hex476ba64

74889828 has 72 divisors (see below), whose sum is σ = 215881848. Its totient is φ = 21685248.

The previous prime is 74889827. The next prime is 74889923. The reversal of 74889828 is 82898847.

74889828 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32353344 + 42536484 = 5688^2 + 6522^2 .

74889828 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (74889823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3250 + ... + 12662.

It is an arithmetic number, because the mean of its divisors is an integer number (2998359).

Almost surely, 274889828 is an apocalyptic number.

74889828 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74889828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107940924).

74889828 is an abundant number, since it is smaller than the sum of its proper divisors (140992020).

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

74889828 is a wasteful number, since it uses less digits than its factorization.

74889828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9453 (or 9448 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 74889828 is about 8653.8909168073. The cubic root of 74889828 is about 421.5097366494.

The spelling of 74889828 in words is "seventy-four million, eight hundred eighty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 9413 18826 28239 37652 56478 84717 112956 122369 160021 169434 244738 320042 338868 367107 480063 489476 640084 734214 960126 1101321 1440189 1468428 1920252 2080273 2202642 2880378 4160546 4405284 5760756 6240819 8321092 12481638 18722457 24963276 37444914 74889828