Search a number
-
+
796428360 = 23325721323151
BaseRepresentation
bin101111011110001…
…000100001001000
32001111121202022200
4233132020201020
53112341201420
6211010120200
725510346400
oct5736104110
92044552280
10796428360
11379621462
121a2880060
13c90022b0
1477ab9800
1549dbdb90
hex2f788848

796428360 has 576 divisors, whose sum is σ = 3405991680. Its totient is φ = 159667200.

The previous prime is 796428341. The next prime is 796428361. The reversal of 796428360 is 63824697.

It is a super-2 number, since 2×7964283602 = 1268596265224579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (796428361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5274285 + ... + 5274435.

It is an arithmetic number, because the mean of its divisors is an integer number (5913180).

Almost surely, 2796428360 is an apocalyptic number.

796428360 is a gapful number since it is divisible by the number (70) 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 796428360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702995840).

796428360 is an abundant number, since it is smaller than the sum of its proper divisors (2609563320).

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

796428360 is a wasteful number, since it uses less digits than its factorization.

796428360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 796428360 is about 28221.0623471194. The cubic root of 796428360 is about 926.9341986438.

The spelling of 796428360 in words is "seven hundred ninety-six million, four hundred twenty-eight thousand, three hundred sixty".