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889117072 = 24233896211
BaseRepresentation
bin110100111111101…
…101100110010000
32021222000211022221
4310333231212100
53310103221242
6224120510424
731014241024
oct6477554620
92258024287
10889117072
114169798a8
1220991b414
13112285c9c
1486126384
15530cc167
hex34fed990

889117072 has 40 divisors (see below), whose sum is σ = 1802473920. Its totient is φ = 424068480.

The previous prime is 889117037. The next prime is 889117087. The reversal of 889117072 is 270711988.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 140047 + ... + 146257.

It is an arithmetic number, because the mean of its divisors is an integer number (45061848).

Almost surely, 2889117072 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 889117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901236960).

889117072 is an abundant number, since it is smaller than the sum of its proper divisors (913356848).

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

889117072 is a wasteful number, since it uses less digits than its factorization.

889117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 43.

The square root of 889117072 is about 29818.0662015497. The cubic root of 889117072 is about 961.5819807477.

The spelling of 889117072 in words is "eight hundred eighty-nine million, one hundred seventeen thousand, seventy-two".

Divisors: 1 2 4 8 16 23 46 92 184 368 389 778 1556 3112 6211 6224 8947 12422 17894 24844 35788 49688 71576 99376 142853 143152 285706 571412 1142824 2285648 2416079 4832158 9664316 19328632 38657264 55569817 111139634 222279268 444558536 889117072