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468433116 = 223273178247
BaseRepresentation
bin11011111010111…
…011100011011100
31012122102212102200
4123322323203130
51424404324431
6114252051500
714415421134
oct3372734334
91178385380
10468433116
11220466808
12110a63b90
1376081b78
14462d9ac4
152b1ceee6
hex1bebb8dc

468433116 has 36 divisors (see below), whose sum is σ = 1200322032. Its totient is φ = 154004544.

The previous prime is 468433109. The next prime is 468433117. The reversal of 468433116 is 611334864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468433117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86496 + ... + 91751.

Almost surely, 2468433116 is an apocalyptic number.

It is an amenable number.

468433116 is an abundant number, since it is smaller than the sum of its proper divisors (731888916).

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

468433116 is a wasteful number, since it uses less digits than its factorization.

468433116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178330 (or 178325 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 468433116 is about 21643.3157348868. The cubic root of 468433116 is about 776.6330412928.

The spelling of 468433116 in words is "four hundred sixty-eight million, four hundred thirty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 178247 356494 534741 712988 1069482 1604223 2138964 3208446 6416892 13012031 26024062 39036093 52048124 78072186 117108279 156144372 234216558 468433116