Search a number
-
+
889629384 = 233713140423
BaseRepresentation
bin110101000001101…
…010101011001000
32021222222212002110
4311001222223020
53310221120014
6224135502320
731021503450
oct6501525310
92258885073
10889629384
114171997a6
12209b279a0
13112405227
148621ad60
155317dd59
hex3506aac8

889629384 has 64 divisors (see below), whose sum is σ = 2561264640. Its totient is φ = 252233280.

The previous prime is 889629373. The next prime is 889629407. The reversal of 889629384 is 483926988.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1797 + ... + 42219.

It is an arithmetic number, because the mean of its divisors is an integer number (40019760).

Almost surely, 2889629384 is an apocalyptic number.

889629384 is a gapful number since it is divisible by the number (84) 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 889629384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280632320).

889629384 is an abundant number, since it is smaller than the sum of its proper divisors (1671635256).

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

889629384 is a wasteful number, since it uses less digits than its factorization.

889629384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40570 (or 40566 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The square root of 889629384 is about 29826.6555952893. The cubic root of 889629384 is about 961.7666341209.

It can be divided in two parts, 88962 and 9384, that added together give a triangular number (98346 = T443).

The spelling of 889629384 in words is "eight hundred eighty-nine million, six hundred twenty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1048 1572 1834 2751 3144 3668 5502 7336 11004 22008 40423 80846 121269 161692 242538 282961 323384 485076 565922 848883 970152 1131844 1697766 2263688 3395532 5295413 6791064 10590826 15886239 21181652 31772478 37067891 42363304 63544956 74135782 111203673 127089912 148271564 222407346 296543128 444814692 889629384