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8242860672 = 27344391811
BaseRepresentation
bin1111010110101000…
…00001001010000000
3210021110101201010000
413223110001022000
5113340133020142
63441533040000
7411160105524
oct75324011200
923243351100
108242860672
11354a975252
121720626000
13a14956067
14582a45d84
153339be14c
hex1eb501280

8242860672 has 160 divisors (see below), whose sum is σ = 24600074400. Its totient is φ = 2739847680.

The previous prime is 8242860641. The next prime is 8242860673. The reversal of 8242860672 is 2760682428.

It is not an unprimeable number, because it can be changed into a prime (8242860673) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4550647 + ... + 4552457.

It is an arithmetic number, because the mean of its divisors is an integer number (153750465).

Almost surely, 28242860672 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 8242860672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300037200).

8242860672 is an abundant number, since it is smaller than the sum of its proper divisors (16357213728).

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

8242860672 is a wasteful number, since it uses less digits than its factorization.

8242860672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2255 counting only the distinct ones).

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

The square root of 8242860672 is about 90790.2014096235. The cubic root of 8242860672 is about 2020.0369787042.

The spelling of 8242860672 in words is "eight billion, two hundred forty-two million, eight hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 439 576 648 864 878 1152 1296 1317 1728 1756 1811 2592 2634 3456 3512 3622 3951 5184 5268 5433 7024 7244 7902 10368 10536 10866 11853 14048 14488 15804 16299 21072 21732 23706 28096 28976 31608 32598 35559 42144 43464 47412 48897 56192 57952 63216 65196 71118 84288 86928 94824 97794 115904 126432 130392 142236 146691 168576 173856 189648 195588 231808 252864 260784 284472 293382 347712 379296 391176 505728 521568 568944 586764 695424 758592 782352 795029 1043136 1137888 1173528 1517184 1564704 1590058 2086272 2275776 2347056 2385087 3129408 3180116 4551552 4694112 4770174 6258816 6360232 7155261 9388224 9540348 12720464 14310522 18776448 19080696 21465783 25440928 28621044 38161392 42931566 50881856 57242088 64397349 76322784 85863132 101763712 114484176 128794698 152645568 171726264 228968352 257589396 305291136 343452528 457936704 515178792 686905056 915873408 1030357584 1373810112 2060715168 2747620224 4121430336 8242860672