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5788385280 = 2143352617
BaseRepresentation
bin1010110010000001…
…11100000000000000
3112221101212102212000
411121000330000000
543323311312110
62354213104000
7263304314556
oct53100740000
915841772760
105788385280
112500435597
121156628000
137132a5c62
143cca85bd6
1523d2871c0
hex15903c000

5788385280 has 240 divisors, whose sum is σ = 20588161440. Its totient is φ = 1542979584.

The previous prime is 5788385279. The next prime is 5788385287. The reversal of 5788385280 is 825838875.

It is a happy number.

5788385280 is a `hidden beast` number, since 5 + 7 + 88 + 38 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5788385287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2210532 + ... + 2213148.

It is an arithmetic number, because the mean of its divisors is an integer number (85784006).

Almost surely, 25788385280 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 5788385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10294080720).

5788385280 is an abundant number, since it is smaller than the sum of its proper divisors (14799776160).

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

5788385280 is an equidigital number, since it uses as much as digits as its factorization.

5788385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The square root of 5788385280 is about 76081.4384722056. The cubic root of 5788385280 is about 1795.5016565347.

The spelling of 5788385280 in words is "five billion, seven hundred eighty-eight million, three hundred eighty-five thousand, two hundred eighty".