Search a number
-
+
6825733924 = 2210124092
BaseRepresentation
bin1100101101101100…
…00110111100100100
3122121200211012200011
412112312012330210
5102434341441144
63045151100004
7331101531622
oct62666067444
918550735604
106825733924
112992a48a19
1213a5b11604
1384a18bc19
1448a756512
1529e394a34
hex196d86f24

6825733924 has 27 divisors (see below), whose sum is σ = 12094042611. Its totient is φ = 3370814400.

The previous prime is 6825733877. The next prime is 6825733931. The reversal of 6825733924 is 4293375286.

The square root of 6825733924 is 82618.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5273373924 + 1552360000 = 72618^2 + 39400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16688632 + ... + 16689040.

Almost surely, 26825733924 is an apocalyptic number.

6825733924 is the 82618-th square number.

It is an amenable number.

6825733924 is a deficient number, since it is larger than the sum of its proper divisors (5268308687).

6825733924 is an equidigital number, since it uses as much as digits as its factorization.

6825733924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 512 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

The cubic root of 6825733924 is about 1896.9233609036.

Multiplying 6825733924 by its sum of digits (49), we get a square (334460962276 = 5783262).

The spelling of 6825733924 in words is "six billion, eight hundred twenty-five million, seven hundred thirty-three thousand, nine hundred twenty-four".

Divisors: 1 2 4 101 202 404 409 818 1636 10201 20402 40804 41309 82618 165236 167281 334562 669124 4172209 8344418 16688836 16895381 33790762 67581524 1706433481 3412866962 6825733924