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989013888 = 27373533
BaseRepresentation
bin111010111100110…
…010011110000000
32112221000010000000
4322330302132000
54011141421023
6242050000000
733336323262
oct7274623600
92487003000
10989013888
114682aa855
12237276000
13129b91825
14954cbb32
155bc61243
hex3af32780

989013888 has 128 divisors (see below), whose sum is σ = 2955837600. Its totient is φ = 329577984.

The previous prime is 989013841. The next prime is 989013901. The reversal of 989013888 is 888310989.

989013888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278170 + ... + 281702.

Almost surely, 2989013888 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 989013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477918800).

989013888 is an abundant number, since it is smaller than the sum of its proper divisors (1966823712).

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

989013888 is an frugal number, since it uses more digits than its factorization.

989013888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 989013888 is about 31448.5911926115. The cubic root of 989013888 is about 996.3244696952.

The spelling of 989013888 in words is "nine hundred eighty-nine million, thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2187 2592 2916 3456 3533 3888 4374 5184 5832 7066 7776 8748 10368 10599 11664 14132 15552 17496 21198 23328 28264 31104 31797 34992 42396 46656 56528 63594 69984 84792 93312 95391 113056 127188 139968 169584 190782 226112 254376 279936 286173 339168 381564 452224 508752 572346 678336 763128 858519 1017504 1144692 1356672 1526256 1717038 2035008 2289384 2575557 3052512 3434076 4070016 4578768 5151114 6105024 6868152 7726671 9157536 10302228 12210048 13736304 15453342 18315072 20604456 27472608 30906684 36630144 41208912 54945216 61813368 82417824 109890432 123626736 164835648 247253472 329671296 494506944 989013888