Search a number
-
+
989331408 = 24341324517
BaseRepresentation
bin111010111101111…
…111111111010000
32112221121020120000
4322331333333100
54011232101113
6242100450000
733342115062
oct7275777720
92487536500
10989331408
114684a736a
122373a9900
13129c73200
1495571732
155bcc5373
hex3af7ffd0

989331408 has 150 divisors (see below), whose sum is σ = 3101304294. Its totient is φ = 304342272.

The previous prime is 989331403. The next prime is 989331451. The reversal of 989331408 is 804133989.

It can be written as a sum of positive squares in 3 ways, for example, as 122146704 + 867184704 = 11052^2 + 29448^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989331403) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 216766 + ... + 221282.

Almost surely, 2989331408 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 989331408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550652147).

989331408 is an abundant number, since it is smaller than the sum of its proper divisors (2111972886).

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

989331408 is a wasteful number, since it uses less digits than its factorization.

989331408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 989331408 is about 31453.6390263511. The cubic root of 989331408 is about 996.4310806339.

The spelling of 989331408 in words is "nine hundred eighty-nine million, three hundred thirty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 169 208 216 234 312 324 338 351 432 468 507 624 648 676 702 936 1014 1053 1296 1352 1404 1521 1872 2028 2106 2704 2808 3042 4056 4212 4517 4563 5616 6084 8112 8424 9034 9126 12168 13551 13689 16848 18068 18252 24336 27102 27378 36136 36504 40653 54204 54756 58721 72272 73008 81306 108408 109512 117442 121959 162612 176163 216816 219024 234884 243918 325224 352326 365877 469768 487836 528489 650448 704652 731754 763373 939536 975672 1056978 1409304 1463508 1526746 1585467 1951344 2113956 2290119 2818608 2927016 3053492 3170934 4227912 4580238 4756401 5854032 6106984 6341868 6870357 8455824 9160476 9512802 12213968 12683736 13740714 18320952 19025604 20611071 25367472 27481428 36641904 38051208 41222142 54962856 61833213 76102416 82444284 109925712 123666426 164888568 247332852 329777136 494665704 989331408