Search a number
-
+
5884200768 = 263233153811
BaseRepresentation
bin1010111101011100…
…11100011101000000
3120012002011100222210
411132232130131000
544022323411033
62411514502120
7265546611165
oct53656343500
916162140883
105884200768
11254a529146
121182734940
1372a0b2c04
143db6a806c
152468b1d63
hex15eb9c740

5884200768 has 224 divisors, whose sum is σ = 17107034112. Its totient is φ = 1779148800.

The previous prime is 5884200743. The next prime is 5884200779. The reversal of 5884200768 is 8670024885.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7255083 + ... + 7255893.

It is an arithmetic number, because the mean of its divisors is an integer number (76370688).

Almost surely, 25884200768 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 5884200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553517056).

5884200768 is an abundant number, since it is smaller than the sum of its proper divisors (11222833344).

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

5884200768 is a wasteful number, since it uses less digits than its factorization.

5884200768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 5884200768 is about 76708.5442959257. The cubic root of 5884200768 is about 1805.3545054064.

The spelling of 5884200768 in words is "five billion, eight hundred eighty-four million, two hundred thousand, seven hundred sixty-eight".