Search a number
-
+
794628450 = 23252711171971
BaseRepresentation
bin101111010111010…
…001000101100010
32001101020022022100
4233113101011202
53111411102300
6210503351230
725456142010
oct5727210542
92041208270
10794628450
11378602130
121a2152516
13c8821c65
147776b8b0
1549b65700
hex2f5d1162

794628450 has 576 divisors, whose sum is σ = 3008378880. Its totient is φ = 145152000.

The previous prime is 794628407. The next prime is 794628479. The reversal of 794628450 is 54826497.

It is a happy number.

794628450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 794628396 and 794628405.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11191915 + ... + 11191985.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2794628450 is an apocalyptic number.

794628450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 794628450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504189440).

794628450 is an abundant number, since it is smaller than the sum of its proper divisors (2213750430).

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

794628450 is a wasteful number, since it uses less digits than its factorization.

794628450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 794628450 is about 28189.1548294730. The cubic root of 794628450 is about 926.2353885373.

The spelling of 794628450 in words is "seven hundred ninety-four million, six hundred twenty-eight thousand, four hundred fifty".