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5788334880 = 25325311271021
BaseRepresentation
bin1010110010000001…
…01111101100100000
3112221101202212201100
411121000233230200
543323303204010
62354212034400
7263304014616
oct53100575440
915841685640
105788334880
112500400739
121156602a00
13713289033
143cca716b6
1523d2772c0
hex15902fb20

5788334880 has 288 divisors, whose sum is σ = 20570554368. Its totient is φ = 1480550400.

The previous prime is 5788334869. The next prime is 5788334897. The reversal of 5788334880 is 884338875.

5788334880 is a `hidden beast` number, since 57 + 88 + 33 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×57883348802 = 67009641366049228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5668770 + ... + 5669790.

It is an arithmetic number, because the mean of its divisors is an integer number (71425536).

Almost surely, 25788334880 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 5788334880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285277184).

5788334880 is an abundant number, since it is smaller than the sum of its proper divisors (14782219488).

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

5788334880 is a wasteful number, since it uses less digits than its factorization.

5788334880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 5788334880 is about 76081.1072474632. The cubic root of 5788334880 is about 1795.4964453205.

The spelling of 5788334880 in words is "five billion, seven hundred eighty-eight million, three hundred thirty-four thousand, eight hundred eighty".