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900045189 = 34296192
BaseRepresentation
bin110101101001011…
…001100110000101
32022201121000220000
4311221121212011
53320402421224
6225151031513
731206154311
oct6551314605
92281530800
10900045189
114220632aa
1221150b599
13114611124
148776cb41
155403a0c9
hex35a59985

900045189 has 30 divisors (see below), whose sum is σ = 1393125030. Its totient is φ = 578403504.

The previous prime is 900045173. The next prime is 900045191. The reversal of 900045189 is 981540009.

900045189 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 775901025 + 124144164 = 27855^2 + 11142^2 .

It is not a de Polignac number, because 900045189 - 24 = 900045173 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900045119) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1453722 + ... + 1454340.

It is an arithmetic number, because the mean of its divisors is an integer number (46437501).

Almost surely, 2900045189 is an apocalyptic number.

It is an amenable number.

900045189 is a deficient number, since it is larger than the sum of its proper divisors (493079841).

900045189 is an frugal number, since it uses more digits than its factorization.

900045189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 651 counting only the distinct ones).

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

The square root of 900045189 is about 30000.7531405463. The cubic root of 900045189 is about 965.5055434092.

The spelling of 900045189 in words is "nine hundred million, forty-five thousand, one hundred eighty-nine".

Divisors: 1 3 9 27 29 81 87 261 619 783 1857 2349 5571 16713 17951 50139 53853 161559 383161 484677 1149483 1454031 3448449 10345347 11111669 31036041 33335007 100005021 300015063 900045189