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868747872 = 253172173181
BaseRepresentation
bin110011110010000…
…000101001100000
32020112200222001010
4303302000221200
53234344412442
6222112140520
730346143426
oct6362005140
92215628033
10868747872
11406427153
12202b37740
1310aca37c5
1483543116
1551406b9c
hex33c80a60

868747872 has 144 divisors (see below), whose sum is σ = 2449963152. Its totient is φ = 269475840.

The previous prime is 868747871. The next prime is 868747879. The reversal of 868747872 is 278747868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868747871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4799622 + ... + 4799802.

It is an arithmetic number, because the mean of its divisors is an integer number (17013633).

Almost surely, 2868747872 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 868747872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224981576).

868747872 is an abundant number, since it is smaller than the sum of its proper divisors (1581215280).

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

868747872 is a wasteful number, since it uses less digits than its factorization.

868747872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 376 counting only the distinct ones).

The product of its digits is 8429568, while the sum is 57.

The square root of 868747872 is about 29474.5292074360. The cubic root of 868747872 is about 954.1820695093.

The spelling of 868747872 in words is "eight hundred sixty-eight million, seven hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 173 181 204 272 289 346 362 408 519 543 544 578 692 724 816 867 1038 1086 1156 1384 1448 1632 1734 2076 2172 2312 2768 2896 2941 3077 3468 4152 4344 4624 5536 5792 5882 6154 6936 8304 8688 8823 9231 9248 11764 12308 13872 16608 17376 17646 18462 23528 24616 27744 31313 35292 36924 47056 49232 49997 52309 62626 70584 73848 93939 94112 98464 99994 104618 125252 141168 147696 149991 156927 187878 199988 209236 250504 282336 295392 299982 313854 375756 399976 418472 501008 532321 599964 627708 751512 799952 836944 1002016 1064642 1199928 1255416 1503024 1596963 1599904 1673888 2129284 2399856 2510832 3006048 3193926 4258568 4799712 5021664 6387852 8517136 9049457 12775704 17034272 18098914 25551408 27148371 36197828 51102816 54296742 72395656 108593484 144791312 217186968 289582624 434373936 868747872