Search a number
-
+
797913792 = 2632132341113
BaseRepresentation
bin101111100011110…
…011001011000000
32001121102012221200
4233203303023000
53113231220132
6211102021200
725526104164
oct5743631300
92047365850
10797913792
1137a446495
121a3277800
13c9402450
1477d84ca4
154a0b3d7c
hex2f8f32c0

797913792 has 336 divisors, whose sum is σ = 2656075968. Its totient is φ = 227082240.

The previous prime is 797913773. The next prime is 797913803. The reversal of 797913792 is 297319797.

It is a happy number.

797913792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7061128 + ... + 7061240.

It is an arithmetic number, because the mean of its divisors is an integer number (7904988).

Almost surely, 2797913792 is an apocalyptic number.

797913792 is a gapful number since it is divisible by the number (72) 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 797913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328037984).

797913792 is an abundant number, since it is smaller than the sum of its proper divisors (1858162176).

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

797913792 is a wasteful number, since it uses less digits than its factorization.

797913792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its digits is 1500282, while the sum is 54.

The square root of 797913792 is about 28247.3678773793. The cubic root of 797913792 is about 927.5101209533.

The spelling of 797913792 in words is "seven hundred ninety-seven million, nine hundred thirteen thousand, seven hundred ninety-two".