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426555168 = 253131917989
BaseRepresentation
bin11001011011001…
…011011100100000
31002201122020200120
4121123023130200
51333144231133
6110154320240
713366442034
oct3133133440
91081566616
10426555168
111a9863236
12baa29080
136a4ab610
14409181c4
15276abab3
hex196cb720

426555168 has 96 divisors (see below), whose sum is σ = 1269374400. Its totient is φ = 124333056.

The previous prime is 426555167. The next prime is 426555193. The reversal of 426555168 is 861555624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4265551682 = 363898622695016448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (426555163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14718 + ... + 32706.

It is an arithmetic number, because the mean of its divisors is an integer number (13222650).

Almost surely, 2426555168 is an apocalyptic number.

426555168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426555168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634687200).

426555168 is an abundant number, since it is smaller than the sum of its proper divisors (842819232).

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

426555168 is a wasteful number, since it uses less digits than its factorization.

426555168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18034 (or 18026 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 426555168 is about 20653.2120504293. The cubic root of 426555168 is about 752.7632397276.

The spelling of 426555168 in words is "four hundred twenty-six million, five hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 17989 23712 35978 53967 71956 107934 143912 215868 233857 287824 341791 431736 467714 575648 683582 701571 863472 935428 1025373 1367164 1403142 1726944 1870856 2050746 2734328 2806284 3741712 4101492 4443283 5468656 5612568 7483424 8202984 8886566 10937312 11225136 13329849 16405968 17773132 22450272 26659698 32811936 35546264 53319396 71092528 106638792 142185056 213277584 426555168