Search a number
-
+
5193089280 = 28335178839
BaseRepresentation
bin1001101011000100…
…00100000100000000
3111101220201021021000
410311202010010000
541113412324110
62215145532000
7242455346661
oct46542040400
914356637230
105193089280
1122253aa925
12100b1a4000
13649b664c2
143739a5368
15205d981c0
hex135884100

5193089280 has 288 divisors, whose sum is σ = 19514476800. Its totient is φ = 1303216128.

The previous prime is 5193089249. The next prime is 5193089299. The reversal of 5193089280 is 829803915.

It is a happy number.

5193089280 is a `hidden beast` number, since 519 + 30 + 89 + 28 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583101 + ... + 591939.

It is an arithmetic number, because the mean of its divisors is an integer number (67758600).

Almost surely, 25193089280 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 5193089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757238400).

5193089280 is an abundant number, since it is smaller than the sum of its proper divisors (14321387520).

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

5193089280 is a wasteful number, since it uses less digits than its factorization.

5193089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5193089280 is about 72063.0923566287. The cubic root of 5193089280 is about 1731.7103914785.

The spelling of 5193089280 in words is "five billion, one hundred ninety-three million, eighty-nine thousand, two hundred eighty".