Search a number
-
+
900049581 = 32175882677
BaseRepresentation
bin110101101001011…
…010101010101101
32022201121020220200
4311221122222231
53320403041311
6225151104113
731206203154
oct6551325255
92281536820
10900049581
11422066632
12211512039
13114613122
148777059b
155403b556
hex35a5aaad

900049581 has 12 divisors (see below), whose sum is σ = 1376546652. Its totient is φ = 564736896.

The previous prime is 900049561. The next prime is 900049609. The reversal of 900049581 is 185940009.

900049581 is a `hidden beast` number, since 90 + 0 + 0 + 495 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 272547081 + 627502500 = 16509^2 + 25050^2 .

It is not a de Polignac number, because 900049581 - 210 = 900048557 is a prime.

It is a super-2 number, since 2×9000495812 = 1620178496516551122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900049561) 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, 2941186 + ... + 2941491.

It is an arithmetic number, because the mean of its divisors is an integer number (114712221).

Almost surely, 2900049581 is an apocalyptic number.

It is an amenable number.

900049581 is a deficient number, since it is larger than the sum of its proper divisors (476497071).

900049581 is a wasteful number, since it uses less digits than its factorization.

900049581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882700 (or 5882697 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 900049581 is about 30000.8263386194. The cubic root of 900049581 is about 965.5071138835.

The spelling of 900049581 in words is "nine hundred million, forty-nine thousand, five hundred eighty-one".

Divisors: 1 3 9 17 51 153 5882677 17648031 52944093 100005509 300016527 900049581