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2998209024 = 29321733761
BaseRepresentation
bin1011001010110101…
…0000101000000000
321201221122210120200
42302231100220000
522120020142044
61213302005200
7134204233116
oct26255205000
97657583520
102998209024
1112a94578a8
126b8116800
1338a2082a5
1420629bab6
1512833d369
hexb2b50a00

2998209024 has 120 divisors (see below), whose sum is σ = 8705365812. Its totient is φ = 993361920.

The previous prime is 2998209001. The next prime is 2998209037. The reversal of 2998209024 is 4209028992.

It can be written as a sum of positive squares in 2 ways, for example, as 2864390400 + 133818624 = 53520^2 + 11568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795304 + ... + 799064.

Almost surely, 22998209024 is an apocalyptic number.

2998209024 is a gapful number since it is divisible by the number (24) 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 2998209024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352682906).

2998209024 is an abundant number, since it is smaller than the sum of its proper divisors (5707156788).

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

2998209024 is a wasteful number, since it uses less digits than its factorization.

2998209024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3939 counting only the distinct ones).

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

The square root of 2998209024 is about 54755.9040104353. The cubic root of 2998209024 is about 1441.9625093570.

The spelling of 2998209024 in words is "two billion, nine hundred ninety-eight million, two hundred nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 256 288 346 384 512 519 576 692 768 1038 1152 1384 1536 1557 2076 2304 2768 3114 3761 4152 4608 5536 6228 7522 8304 11072 11283 12456 15044 16608 22144 22566 24912 30088 33216 33849 44288 45132 49824 60176 66432 67698 88576 90264 99648 120352 132864 135396 180528 199296 240704 265728 270792 361056 398592 481408 541584 650653 722112 797184 962816 1083168 1301306 1444224 1925632 1951959 2166336 2602612 2888448 3903918 4332672 5205224 5776896 5855877 7807836 8665344 10410448 11711754 15615672 17330688 20820896 23423508 31231344 41641792 46847016 62462688 83283584 93694032 124925376 166567168 187388064 249850752 333134336 374776128 499701504 749552256 999403008 1499104512 2998209024