Search a number
-
+
825337345 = 5756941443
BaseRepresentation
bin110001001100011…
…010011000000001
32010112000110222211
4301030122120001
53142241243340
6213521502121
726311152220
oct6114323001
92115013884
10825337345
11393977188
121b04a1941
13101cb47c1
147b882cb7
154c6ce5ea
hex3131a601

825337345 has 16 divisors (see below), whose sum is σ = 1133907840. Its totient is φ = 564937344.

The previous prime is 825337327. The next prime is 825337349. The reversal of 825337345 is 543733528.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-825337345 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 825337298 and 825337307.

It is not an unprimeable number, because it can be changed into a prime (825337349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 807 + ... + 40636.

It is an arithmetic number, because the mean of its divisors is an integer number (70869240).

Almost surely, 2825337345 is an apocalyptic number.

It is an amenable number.

825337345 is a deficient number, since it is larger than the sum of its proper divisors (308570495).

825337345 is a wasteful number, since it uses less digits than its factorization.

825337345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42024.

The product of its digits is 302400, while the sum is 40.

The square root of 825337345 is about 28728.6850551848. The cubic root of 825337345 is about 938.0165454443.

The spelling of 825337345 in words is "eight hundred twenty-five million, three hundred thirty-seven thousand, three hundred forty-five".

Divisors: 1 5 7 35 569 2845 3983 19915 41443 207215 290101 1450505 23581067 117905335 165067469 825337345