Search a number
-
+
9046484460 = 223351329371201
BaseRepresentation
bin10000110110011011…
…00110010111101100
3212100110120000201000
420123031212113230
5122011400000320
64053401320300
7440115564156
oct103315462754
925313500630
109046484460
113922560742
121905796090
13b122a74b0
1461b675ad6
1537e30ec90
hex21b3665ec

9046484460 has 384 divisors, whose sum is σ = 32228985600. Its totient is φ = 2090188800.

The previous prime is 9046484417. The next prime is 9046484467. The reversal of 9046484460 is 644846409.

9046484460 is a `hidden beast` number, since 90 + 46 + 484 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9046484467) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7531860 + ... + 7533060.

It is an arithmetic number, because the mean of its divisors is an integer number (83929650).

Almost surely, 29046484460 is an apocalyptic number.

9046484460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9046484460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114492800).

9046484460 is an abundant number, since it is smaller than the sum of its proper divisors (23182501140).

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

9046484460 is a wasteful number, since it uses less digits than its factorization.

9046484460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 9046484460 is about 95113.0088894258. The cubic root of 9046484460 is about 2083.6588445546.

The spelling of 9046484460 in words is "nine billion, forty-six million, four hundred eighty-four thousand, four hundred sixty".