Search a number
-
+
798902928 = 243217332069
BaseRepresentation
bin101111100111100…
…100101010010000
32001200021110210100
4233213210222100
53114004343203
6211135132400
725540364025
oct5747445220
92050243710
10798902928
1137aa6165a
121a3674100
13c968a735
147816154c
154a20bea3
hex2f9e4a90

798902928 has 60 divisors (see below), whose sum is σ = 2248812540. Its totient is φ = 264753408.

The previous prime is 798902921. The next prime is 798902941. The reversal of 798902928 is 829209897.

798902928 is digitally balanced in base 2, 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 2 ways, for example, as 696326544 + 102576384 = 26388^2 + 10128^2 .

It is not an unprimeable number, because it can be changed into a prime (798902921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8878 + ... + 40946.

It is an arithmetic number, because the mean of its divisors is an integer number (37480209).

Almost surely, 2798902928 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 798902928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124406270).

798902928 is an abundant number, since it is smaller than the sum of its proper divisors (1449909612).

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

798902928 is a wasteful number, since it uses less digits than its factorization.

798902928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32256 (or 32247 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 798902928 is about 28264.8709178018. The cubic root of 798902928 is about 927.8932261715.

The spelling of 798902928 in words is "seven hundred ninety-eight million, nine hundred two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 24912 32069 64138 96207 128276 192414 256552 288621 384828 513104 577242 769656 1154484 1539312 2308968 4617936 5547937 11095874 16643811 22191748 33287622 44383496 49931433 66575244 88766992 99862866 133150488 199725732 266300976 399451464 798902928