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982137312 = 25341329147
BaseRepresentation
bin111010100010100…
…011100111100000
32112110001202010000
4322202203213200
54002411343222
6241242340000
733224013042
oct7242434740
92473052100
10982137312
11464433332
12234aba600
13128624850
149461ba92
155b3539ac
hex3a8a39e0

982137312 has 120 divisors (see below), whose sum is σ = 3110732856. Its totient is φ = 302185728.

The previous prime is 982137301. The next prime is 982137323. The reversal of 982137312 is 213731289.

It is an interprime number because it is at equal distance from previous prime (982137301) and next prime (982137323).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19123 + ... + 48269.

Almost surely, 2982137312 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 982137312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555366428).

982137312 is an abundant number, since it is smaller than the sum of its proper divisors (2128595544).

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

982137312 is a wasteful number, since it uses less digits than its factorization.

982137312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29182 (or 29165 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 982137312 is about 31339.0700564008. The cubic root of 982137312 is about 994.0099617504.

The spelling of 982137312 in words is "nine hundred eighty-two million, one hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 29147 33696 58294 87441 116588 174882 233176 262323 349764 378911 466352 524646 699528 757822 786969 932704 1049292 1136733 1399056 1515644 1573938 2098584 2273466 2360907 2798112 3031288 3147876 3410199 4197168 4546932 4721814 6062576 6295752 6820398 8394336 9093864 9443628 10230597 12125152 12591504 13640796 18187728 18887256 20461194 25183008 27281592 30691791 36375456 37774512 40922388 54563184 61383582 75549024 81844776 109126368 122767164 163689552 245534328 327379104 491068656 982137312