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3005082912 = 2531310922091
BaseRepresentation
bin1011001100011101…
…1110110100100000
321202102121000210010
42303013132310200
522123300123122
61214105204520
7134316532446
oct26307366440
97672530703
103005082912
1113023222a7
126ba490740
1338b773c90
1420716ab96
15128c49e0c
hexb31ded20

3005082912 has 96 divisors (see below), whose sum is σ = 8573463360. Its totient is φ = 916116480.

The previous prime is 3005082859. The next prime is 3005082937. The reversal of 3005082912 is 2192805003.

It is a happy number.

3005082912 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 (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3005082912.

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, 124987 + ... + 147077.

It is an arithmetic number, because the mean of its divisors is an integer number (89306910).

Almost surely, 23005082912 is an apocalyptic number.

3005082912 is a gapful number since it is divisible by the number (32) 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 3005082912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286731680).

3005082912 is an abundant number, since it is smaller than the sum of its proper divisors (5568380448).

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

3005082912 is a wasteful number, since it uses less digits than its factorization.

3005082912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22226 (or 22218 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 3005082912 is about 54818.6365390457. The cubic root of 3005082912 is about 1443.0636471212.

Adding to 3005082912 its reverse (2192805003), we get a palindrome (5197887915).

The spelling of 3005082912 in words is "three billion, five million, eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 109 156 208 218 312 327 416 436 624 654 872 1248 1308 1417 1744 2616 2834 3488 4251 5232 5668 8502 10464 11336 17004 22091 22672 34008 44182 45344 66273 68016 88364 132546 136032 176728 265092 287183 353456 530184 574366 706912 861549 1060368 1148732 1723098 2120736 2297464 2407919 3446196 4594928 4815838 6892392 7223757 9189856 9631676 13784784 14447514 19263352 27569568 28895028 31302947 38526704 57790056 62605894 77053408 93908841 115580112 125211788 187817682 231160224 250423576 375635364 500847152 751270728 1001694304 1502541456 3005082912