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468783018 = 233112233539
BaseRepresentation
bin11011111100010…
…000111110101010
31012200002122102000
4123330100332222
51430002024033
6114303351430
714421406224
oct3374207652
91180078360
10468783018
11220685690
12110bb2576
1376175202
144638b414
152b24da13
hex1bf10faa

468783018 has 64 divisors (see below), whose sum is σ = 1141862400. Its totient is φ = 141378480.

The previous prime is 468783017. The next prime is 468783019. The reversal of 468783018 is 810387864.

It is an interprime number because it is at equal distance from previous prime (468783017) and next prime (468783019).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (468783011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130693 + ... + 134231.

It is an arithmetic number, because the mean of its divisors is an integer number (17841600).

Almost surely, 2468783018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468783018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570931200).

468783018 is an abundant number, since it is smaller than the sum of its proper divisors (673079382).

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

468783018 is a wasteful number, since it uses less digits than its factorization.

468783018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 468783018 is about 21651.3975992313. The cubic root of 468783018 is about 776.8263651008.

The spelling of 468783018 in words is "four hundred sixty-eight million, seven hundred eighty-three thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 223 297 446 594 669 1338 2007 2453 3539 4014 4906 6021 7078 7359 10617 12042 14718 21234 22077 31851 38929 44154 63702 66231 77858 95553 116787 132462 191106 233574 350361 700722 789197 1051083 1578394 2102166 2367591 4735182 7102773 8681167 14205546 17362334 21308319 26043501 42616638 52087002 78130503 156261006 234391509 468783018