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863889664 = 281121672
BaseRepresentation
bin110011011111011…
…110100100000000
32020012120010211111
4303133132210000
53232123432124
6221420053104
730256640521
oct6337364400
92205503744
10863889664
11403709100
12201394194
13109c92421
1482a3a848
1550c97494
hex337de900

863889664 has 81 divisors (see below), whose sum is σ = 1906837891. Its totient is φ = 390325760.

The previous prime is 863889641. The next prime is 863889707. The reversal of 863889664 is 466988368.

The square root of 863889664 is 29392.

It is a perfect power (a square), and thus also a powerful number.

863889664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 863889599 and 863889608.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5172909 + ... + 5173075.

Almost surely, 2863889664 is an apocalyptic number.

863889664 is the 29392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863889664

863889664 is an abundant number, since it is smaller than the sum of its proper divisors (1042948227).

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

863889664 is an equidigital number, since it uses as much as digits as its factorization.

863889664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 180 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 58.

The cubic root of 863889664 is about 952.4000860562.

The spelling of 863889664 in words is "eight hundred sixty-three million, eight hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 167 176 242 256 334 352 484 668 704 968 1336 1408 1837 1936 2672 2816 3674 3872 5344 7348 7744 10688 14696 15488 20207 21376 27889 29392 30976 40414 42752 55778 58784 80828 111556 117568 161656 223112 235136 306779 323312 446224 470272 613558 646624 892448 1227116 1293248 1784896 2454232 2586496 3374569 3569792 4908464 5172992 6749138 7139584 9816928 13498276 19633856 26996552 39267712 53993104 78535424 107986208 215972416 431944832 863889664