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2982310912 = 210741213
BaseRepresentation
bin1011000111000010…
…0111010000000000
321200211202002110201
42301300213100000
522101432422122
61211533134544
7133622140000
oct26160472000
97624662421
102982310912
1112a0489369
126b292a454
13386b2cc19
14204120000
15126c4ca27
hexb1c27400

2982310912 has 110 divisors (see below), whose sum is σ = 6960647458. Its totient is φ = 1277079552.

The previous prime is 2982310907. The next prime is 2982310943. The reversal of 2982310912 is 2190132892.

It can be written as a sum of positive squares in only one way, i.e., 1792336896 + 1189974016 = 42336^2 + 34496^2 .

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 2458018 + ... + 2459230.

Almost surely, 22982310912 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 2982310912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480323729).

2982310912 is an abundant number, since it is smaller than the sum of its proper divisors (3978336546).

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

2982310912 is an frugal number, since it uses more digits than its factorization.

2982310912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 2982310912 is about 54610.5384701524. The cubic root of 2982310912 is about 1439.4093050523.

The spelling of 2982310912 in words is "two billion, nine hundred eighty-two million, three hundred ten thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1213 1372 1568 1792 2401 2426 2744 3136 3584 4802 4852 5488 6272 7168 8491 9604 9704 10976 12544 16982 19208 19408 21952 25088 33964 38416 38816 43904 50176 59437 67928 76832 77632 87808 118874 135856 153664 155264 175616 237748 271712 307328 310528 351232 416059 475496 543424 614656 621056 832118 950992 1086848 1229312 1242112 1664236 1901984 2173696 2458624 2912413 3328472 3803968 4347392 5824826 6656944 7607936 8694784 11649652 13313888 15215872 23299304 26627776 30431744 46598608 53255552 60863488 93197216 106511104 186394432 213022208 372788864 426044416 745577728 1491155456 2982310912