Search a number
-
+
900057331 = 592332281
BaseRepresentation
bin110101101001011…
…100100011110011
32022201121122112201
4311221130203303
53320403313311
6225151204031
731206234565
oct6551344363
92281548481
10900057331
11422071438
12211516617
13114616804
1487773335
155403d9c1
hex35a5c8f3

900057331 has 12 divisors (see below), whose sum is σ = 922529160. Its totient is φ = 877869440.

The previous prime is 900057307. The next prime is 900057337. The reversal of 900057331 is 133750009.

It is not a de Polignac number, because 900057331 - 27 = 900057203 is a prime.

It is a super-2 number, since 2×9000573312 = 1620206398173687122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 900057331.

It is not an unprimeable number, because it can be changed into a prime (900057337) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3202911 + ... + 3203191.

It is an arithmetic number, because the mean of its divisors is an integer number (76877430).

Almost surely, 2900057331 is an apocalyptic number.

900057331 is a deficient number, since it is larger than the sum of its proper divisors (22471829).

900057331 is an equidigital number, since it uses as much as digits as its factorization.

900057331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 28.

The square root of 900057331 is about 30000.9555014503. The cubic root of 900057331 is about 965.5098850859.

It can be divided in two parts, 90005 and 7331, that added together give a cube (97336 = 463).

The spelling of 900057331 in words is "nine hundred million, fifty-seven thousand, three hundred thirty-one".

Divisors: 1 59 233 281 13747 16579 54289 65473 3203051 3862907 15255209 900057331