Search a number
-
+
9053798400 = 2173252307
BaseRepresentation
bin10000110111010011…
…00000000000000000
3212100222022121112200
420123221200000000
5122020233022100
64054222153200
7440235005463
oct103351400000
925328277480
109053798400
1139266a6819
121908122800
13b1396857a
1461c61b2da
1537eca6e00
hex21ba60000

9053798400 has 324 divisors, whose sum is σ = 32538237732. Its totient is φ = 2406481920.

The previous prime is 9053798389. The next prime is 9053798401. The reversal of 9053798400 is 48973509.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9053798401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29491047 + ... + 29491353.

Almost surely, 29053798400 is an apocalyptic number.

9053798400 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 9053798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269118866).

9053798400 is an abundant number, since it is smaller than the sum of its proper divisors (23484439332).

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

9053798400 is an equidigital number, since it uses as much as digits as its factorization.

9053798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9053798400 is about 95151.4498050345. The cubic root of 9053798400 is about 2084.2202283955.

The spelling of 9053798400 in words is "nine billion, fifty-three million, seven hundred ninety-eight thousand, four hundred".