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3072528048 = 2431723315281
BaseRepresentation
bin1011011100100011…
…0000111010110000
321221010111121010010
42313020300322300
522243031344143
61224514534520
7136066025502
oct26710607260
97833447103
103072528048
1113373a8887
12718b97440
1339c729945
142120c5d72
1512eb1da33
hexb7230eb0

3072528048 has 160 divisors (see below), whose sum is σ = 9054277632. Its totient is φ = 892108800.

The previous prime is 3072528013. The next prime is 3072528049. The reversal of 3072528048 is 8408252703.

It is a junction number, because it is equal to n+sod(n) for n = 3072527997 and 3072528015.

It is not an unprimeable number, because it can be changed into a prime (3072528049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579168 + ... + 584448.

Almost surely, 23072528048 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 3072528048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527138816).

3072528048 is an abundant number, since it is smaller than the sum of its proper divisors (5981749584).

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

3072528048 is a wasteful number, since it uses less digits than its factorization.

3072528048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 3072528048 is about 55430.3892102518. The cubic root of 3072528048 is about 1453.7797617590.

The spelling of 3072528048 in words is "three billion, seventy-two million, five hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 31 34 46 48 51 62 68 69 92 93 102 124 136 138 184 186 204 248 272 276 368 372 391 408 496 527 552 713 744 782 816 1054 1104 1173 1426 1488 1564 1581 2108 2139 2346 2852 3128 3162 4216 4278 4692 5281 5704 6256 6324 8432 8556 9384 10562 11408 12121 12648 15843 17112 18768 21124 24242 25296 31686 34224 36363 42248 48484 63372 72726 84496 89777 96968 121463 126744 145452 163711 179554 193936 242926 253488 269331 290904 327422 359108 364389 485852 491133 538662 581808 654844 718216 728778 971704 982266 1077324 1309688 1436432 1457556 1943408 1964532 2064871 2154648 2619376 2783087 2915112 3765353 3929064 4129742 4309296 5566174 5830224 6194613 7530706 7858128 8259484 8349261 11132348 11296059 12389226 15061412 16518968 16698522 22264696 22592118 24778452 30122824 33037936 33397044 44529392 45184236 49556904 60245648 64011001 66794088 90368472 99113808 128022002 133588176 180736944 192033003 256044004 384066006 512088008 768132012 1024176016 1536264024 3072528048