Search a number
-
+
463244004 = 2232611931093
BaseRepresentation
bin11011100111001…
…000101011100100
31012021200020022100
4123213020223210
51422042302004
6113544532100
714323336416
oct3347105344
91167606270
10463244004
11218542093
1210b181030
1374c85ca2
14457489b6
152aa07739
hex1b9c8ae4

463244004 has 72 divisors (see below), whose sum is σ = 1197435512. Its totient is φ = 150958080.

The previous prime is 463243969. The next prime is 463244029. The reversal of 463244004 is 400442364.

It can be written as a sum of positive squares in 4 ways, for example, as 37234404 + 426009600 = 6102^2 + 20640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423282 + ... + 424374.

Almost surely, 2463244004 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 463244004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598717756).

463244004 is an abundant number, since it is smaller than the sum of its proper divisors (734191508).

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

463244004 is a wasteful number, since it uses less digits than its factorization.

463244004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 463244004 is about 21523.1039583049. The cubic root of 463244004 is about 773.7546445036.

Adding to 463244004 its reverse (400442364), we get a palindrome (863686368).

The spelling of 463244004 in words is "four hundred sixty-three million, two hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 193 244 366 386 549 579 732 772 1093 1098 1158 1737 2186 2196 2316 3279 3474 4372 6558 6948 9837 11773 13116 19674 23546 35319 39348 47092 66673 70638 105957 133346 141276 200019 210949 211914 266692 400038 421898 423828 600057 632847 800076 843796 1200114 1265694 1898541 2400228 2531388 3797082 7594164 12867889 25735778 38603667 51471556 77207334 115811001 154414668 231622002 463244004