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842555168 = 25713893251
BaseRepresentation
bin110010001110000…
…101111100100000
32011201102020101222
4302032011330200
53211143231133
6215334514212
726610413030
oct6216057440
92151366358
10842555168
113a2667194
121b6205968
13105732770
147dc858c0
154de80e98
hex32385f20

842555168 has 96 divisors (see below), whose sum is σ = 2065150080. Its totient is φ = 329472000.

The previous prime is 842555167. The next prime is 842555179. The reversal of 842555168 is 861555248.

It is a super-2 number, since 2×8425551682 = 1419798422247016448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (842555167) 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 15 ways as a sum of consecutive naturals, for example, 257543 + ... + 260793.

It is an arithmetic number, because the mean of its divisors is an integer number (21511980).

Almost surely, 2842555168 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 842555168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032575040).

842555168 is an abundant number, since it is smaller than the sum of its proper divisors (1222594912).

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

842555168 is a wasteful number, since it uses less digits than its factorization.

842555168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3362 counting only the distinct ones).

The product of its digits is 384000, while the sum is 44.

The square root of 842555168 is about 29026.8008571389. The cubic root of 842555168 is about 944.4945340457.

The spelling of 842555168 in words is "eight hundred forty-two million, five hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 89 91 104 112 178 182 208 224 356 364 416 623 712 728 1157 1246 1424 1456 2314 2492 2848 2912 3251 4628 4984 6502 8099 9256 9968 13004 16198 18512 19936 22757 26008 32396 37024 42263 45514 52016 64792 84526 91028 104032 129584 169052 182056 259168 289339 295841 338104 364112 578678 591682 676208 728224 1157356 1183364 1352416 2025373 2314712 2366728 3761407 4050746 4629424 4733456 7522814 8101492 9258848 9466912 15045628 16202984 26329849 30091256 32405968 52659698 60182512 64811936 105319396 120365024 210638792 421277584 842555168