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6042076848 = 243341734673
BaseRepresentation
bin1011010000010001…
…01100011010110000
3120121002020022021000
411220020230122300
544333232424343
62435314402000
7302504543253
oct55010543260
916532208230
106042076848
11262065a845
121207590300
13753a0ba02
1441464309a
15255699ed3
hex16822c6b0

6042076848 has 160 divisors (see below), whose sum is σ = 18013222080. Its totient is φ = 1937571840.

The previous prime is 6042076841. The next prime is 6042076927. The reversal of 6042076848 is 8486702406.

It is not an unprimeable number, because it can be changed into a prime (6042076841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290640 + ... + 1295312.

It is an arithmetic number, because the mean of its divisors is an integer number (112582638).

Almost surely, 26042076848 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 6042076848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006611040).

6042076848 is an abundant number, since it is smaller than the sum of its proper divisors (11971145232).

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

6042076848 is a wasteful number, since it uses less digits than its factorization.

6042076848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 6042076848 is about 77730.7972942514. The cubic root of 6042076848 is about 1821.3584078321.

The spelling of 6042076848 in words is "six billion, forty-two million, seventy-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 73 82 108 123 144 146 164 216 219 246 292 328 369 432 438 492 584 656 657 738 876 984 1107 1168 1314 1476 1752 1968 1971 2214 2628 2952 2993 3504 3942 4428 4673 5256 5904 5986 7884 8856 8979 9346 10512 11972 14019 15768 17712 17958 18692 23944 26937 28038 31536 35916 37384 42057 47888 53874 56076 71832 74768 80811 84114 107748 112152 126171 143664 161622 168228 191593 215496 224304 252342 323244 336456 341129 383186 430992 504684 574779 646488 672912 682258 766372 1009368 1023387 1149558 1292976 1364516 1532744 1724337 2018736 2046774 2299116 2729032 3065488 3070161 3448674 4093548 4598232 5173011 5458064 6140322 6897348 8187096 9196464 9210483 10346022 12280644 13794696 13986289 16374192 18420966 20692044 24561288 27589392 27972578 36841932 41384088 41958867 49122576 55945156 73683864 82768176 83917734 111890312 125876601 147367728 167835468 223780624 251753202 335670936 377629803 503506404 671341872 755259606 1007012808 1510519212 2014025616 3021038424 6042076848