Search a number
-
+
463227642 = 232372233119
BaseRepresentation
bin11011100111000…
…100101011111010
31012021122101212100
4123213010223322
51422041241032
6113544324230
714323240623
oct3347045372
91167571770
10463227642
11218530869
1210b173676
1374c7b6c7
1445742a4a
152aa0297c
hex1b9c4afa

463227642 has 48 divisors (see below), whose sum is σ = 1035740160. Its totient is φ = 149514336.

The previous prime is 463227641. The next prime is 463227673. The reversal of 463227642 is 246722364.

463227642 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 2 + 7 + 642 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 463227597 and 463227606.

It is not an unprimeable number, because it can be changed into a prime (463227641) 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 23 ways as a sum of consecutive naturals, for example, 146959 + ... + 150077.

It is an arithmetic number, because the mean of its divisors is an integer number (21577920).

Almost surely, 2463227642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463227642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517870080).

463227642 is an abundant number, since it is smaller than the sum of its proper divisors (572512518).

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

463227642 is a wasteful number, since it uses less digits than its factorization.

463227642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3384 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 463227642 is about 21522.7238517805. The cubic root of 463227642 is about 773.7455346015.

The spelling of 463227642 in words is "four hundred sixty-three million, two hundred twenty-seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 223 333 446 666 669 1338 2007 3119 4014 6238 8251 9357 16502 18714 24753 28071 49506 56142 74259 115403 148518 230806 346209 692418 695537 1038627 1391074 2077254 2086611 4173222 6259833 12519666 25734869 51469738 77204607 154409214 231613821 463227642