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863989368 = 233113173743
BaseRepresentation
bin110011011111110…
…110111001111000
32020012202012121020
4303133312321320
53232140124433
6221422142440
730260534304
oct6337667170
92205665536
10863989368
11403777000
12201421a20
13109cc8918
1482a64d04
1550cb6cb3
hex337f6e78

863989368 has 256 divisors, whose sum is σ = 2643632640. Its totient is φ = 234178560.

The previous prime is 863989367. The next prime is 863989381.

863989368 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863989367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20092755 + ... + 20092797.

It is an arithmetic number, because the mean of its divisors is an integer number (10326690).

Almost surely, 2863989368 is an apocalyptic number.

863989368 is a gapful number since it is divisible by the number (88) 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 863989368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321816320).

863989368 is an abundant number, since it is smaller than the sum of its proper divisors (1779643272).

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

863989368 is a wasteful number, since it uses less digits than its factorization.

863989368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 60.

The square root of 863989368 is about 29393.6960588491. The cubic root of 863989368 is about 952.4367243945.

The spelling of 863989368 in words is "eight hundred sixty-three million, nine hundred eighty-nine thousand, three hundred sixty-eight".