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3082647680 = 27572329917
BaseRepresentation
bin1011011110111101…
…0111100010000000
321221211112201122022
42313233113202000
522303124211210
61225515501012
7136251034010
oct26757274200
97854481568
103082647680
11134208a912
12720457768
133a1860aa8
1421359bc40
1513096c155
hexb7bd7880

3082647680 has 128 divisors (see below), whose sum is σ = 8788711680. Its totient is φ = 1010921472.

The previous prime is 3082647677. The next prime is 3082647691. The reversal of 3082647680 is 867462803.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88082 + ... + 117998.

It is an arithmetic number, because the mean of its divisors is an integer number (68661810).

Almost surely, 23082647680 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 3082647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394355840).

3082647680 is an abundant number, since it is smaller than the sum of its proper divisors (5706064000).

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

3082647680 is a wasteful number, since it uses less digits than its factorization.

3082647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29966 (or 29954 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 3082647680 is about 55521.5965188322. The cubic root of 3082647680 is about 1455.3740617435.

The spelling of 3082647680 in words is "three billion, eighty-two million, six hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 280 320 322 368 448 460 560 640 644 736 805 896 920 1120 1288 1472 1610 1840 2240 2576 2944 3220 3680 4480 5152 6440 7360 10304 12880 14720 20608 25760 29917 51520 59834 103040 119668 149585 209419 239336 299170 418838 478672 598340 688091 837676 957344 1047095 1196680 1376182 1675352 1914688 2094190 2393360 2752364 3350704 3440455 3829376 4188380 4786720 4816637 5504728 6701408 6880910 8376760 9573440 9633274 11009456 13402816 13761820 16753520 19146880 19266548 22018912 24083185 26805632 27523640 33507040 38533096 44037824 48166370 55047280 67014080 77066192 88075648 96332740 110094560 134028160 154132384 192665480 220189120 308264768 385330960 440378240 616529536 770661920 1541323840 3082647680