Search a number
-
+
42819328 = 28179839
BaseRepresentation
bin1010001101010…
…1111100000000
32222120110002001
42203111330000
541430204303
64125433344
71026646456
oct243257400
988513061
1042819328
1122196882
121240b854
138b42ba6
1459889d6
153b5c31d
hex28d5f00

42819328 has 36 divisors (see below), whose sum is σ = 90508320. Its totient is φ = 20148224.

The previous prime is 42819317. The next prime is 42819347. The reversal of 42819328 is 82391824.

It is a congruent number.

It is an unprimeable number.

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, 568 + ... + 9271.

It is an arithmetic number, because the mean of its divisors is an integer number (2514120).

Almost surely, 242819328 is an apocalyptic number.

It is an amenable number.

42819328 is an abundant number, since it is smaller than the sum of its proper divisors (47688992).

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

42819328 is an equidigital number, since it uses as much as digits as its factorization.

42819328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9872 (or 9858 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 42819328 is about 6543.6479122887. The cubic root of 42819328 is about 349.8484459494.

The spelling of 42819328 in words is "forty-two million, eight hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 9839 19678 39356 78712 157424 167263 314848 334526 629696 669052 1259392 1338104 2518784 2676208 5352416 10704832 21409664 42819328