Search a number
-
+
889045956 = 223423532251
BaseRepresentation
bin110100111111011…
…100001111000100
32021221220012210000
4310333130033010
53310043432311
6224115201300
731013523501
oct6477341704
92257805700
10889045956
11416930427
122098a6230
1311225c7c6
14861084a8
15530b6056
hex34fdc3c4

889045956 has 120 divisors (see below), whose sum is σ = 2472047424. Its totient is φ = 277992000.

The previous prime is 889045943. The next prime is 889046017. The reversal of 889045956 is 659540988.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 393831 + ... + 396081.

Almost surely, 2889045956 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 889045956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236023712).

889045956 is an abundant number, since it is smaller than the sum of its proper divisors (1583001468).

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

889045956 is a wasteful number, since it uses less digits than its factorization.

889045956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 889045956 is about 29816.8736791770. The cubic root of 889045956 is about 961.5563426963.

The spelling of 889045956 in words is "eight hundred eighty-nine million, forty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 53 54 69 81 92 106 108 138 159 162 207 212 276 318 324 414 477 621 636 828 954 1219 1242 1431 1863 1908 2251 2438 2484 2862 3657 3726 4293 4502 4876 5724 6753 7314 7452 8586 9004 10971 13506 14628 17172 20259 21942 27012 32913 40518 43884 51773 60777 65826 81036 98739 103546 119303 121554 131652 155319 182331 197478 207092 238606 243108 310638 357909 364662 394956 465957 477212 621276 715818 729324 931914 1073727 1397871 1431636 1863828 2147454 2743969 2795742 3221181 4193613 4294908 5487938 5591484 6442362 8231907 8387226 9663543 10975876 12884724 16463814 16774452 19327086 24695721 32927628 38654172 49391442 74087163 98782884 148174326 222261489 296348652 444522978 889045956