Search a number
-
+
9047090304 = 273272831931
BaseRepresentation
bin10000110110011111…
…11010010010000000
3212100111200210202200
420123033322102000
5122012023342204
64053422313200
7440123666400
oct103317722200
925314623680
109047090304
11392293493a
121905a28800
13b1245a195
1461b792800
1537e3ce539
hex21b3fa480

9047090304 has 288 divisors, whose sum is σ = 30665129040. Its totient is φ = 2552417280.

The previous prime is 9047090281. The next prime is 9047090317. The reversal of 9047090304 is 4030907409.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4684219 + ... + 4686149.

Almost surely, 29047090304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9047090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15332564520).

9047090304 is an abundant number, since it is smaller than the sum of its proper divisors (21618038736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9047090304 is a wasteful number, since it uses less digits than its factorization.

9047090304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9047090304 is about 95116.1937001266. The cubic root of 9047090304 is about 2083.7053577991.

The spelling of 9047090304 in words is "nine billion, forty-seven million, ninety thousand, three hundred four".