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63894168 = 23321325989
BaseRepresentation
bin1111001110111…
…1001010011000
311110020011022200
43303233022120
5112324103133
610201250200
71404043242
oct363571230
9143204280
1063894168
11330806a8
1219493960
1310311600
1486b3092
155921913
hex3cef298

63894168 has 144 divisors (see below), whose sum is σ = 192699000. Its totient is φ = 19109376.

The previous prime is 63894167. The next prime is 63894179. The reversal of 63894168 is 86149836.

63894168 is a `hidden beast` number, since 638 + 9 + 4 + 1 + 6 + 8 = 666.

It is a super-3 number, since 3×638941683 (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63894167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 717868 + ... + 717956.

Almost surely, 263894168 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 63894168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96349500).

63894168 is an abundant number, since it is smaller than the sum of its proper divisors (128804832).

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

63894168 is a wasteful number, since it uses less digits than its factorization.

63894168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 63894168 is about 7993.3827632611. The cubic root of 63894168 is about 399.7793950226.

The spelling of 63894168 in words is "sixty-three million, eight hundred ninety-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 89 104 117 118 156 169 177 178 234 236 267 312 338 354 356 468 472 507 531 534 676 708 712 767 801 936 1014 1062 1068 1157 1352 1416 1521 1534 1602 2028 2124 2136 2301 2314 3042 3068 3204 3471 4056 4248 4602 4628 5251 6084 6136 6408 6903 6942 9204 9256 9971 10413 10502 12168 13806 13884 15041 15753 18408 19942 20826 21004 27612 27768 29913 30082 31506 39884 41652 42008 45123 47259 55224 59826 60164 63012 68263 79768 83304 89739 90246 94518 119652 120328 126024 135369 136526 179478 180492 189036 204789 239304 270738 273052 358956 360984 378072 409578 541476 546104 614367 717912 819156 887419 1082952 1228734 1638312 1774838 2457468 2662257 3549676 4914936 5324514 7099352 7986771 10649028 15973542 21298056 31947084 63894168