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484631712 = 25322323181
BaseRepresentation
bin11100111000101…
…110010010100000
31020202220211201200
4130320232102200
51443031203322
6120031201200
715003205305
oct3470562240
91222824650
10484631712
1122961aa84
12116376200
1379533c36
14485150ac
152c82e8ac
hex1ce2e4a0

484631712 has 108 divisors (see below), whose sum is σ = 1441150074. Its totient is φ = 154471680.

The previous prime is 484631687. The next prime is 484631713. The reversal of 484631712 is 217136484.

484631712 is a `hidden beast` number, since 4 + 8 + 4 + 631 + 7 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 475414416 + 9217296 = 21804^2 + 3036^2 .

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

It is not an unprimeable number, because it can be changed into a prime (484631713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150762 + ... + 153942.

Almost surely, 2484631712 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 484631712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720575037).

484631712 is an abundant number, since it is smaller than the sum of its proper divisors (956518362).

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

484631712 is a wasteful number, since it uses less digits than its factorization.

484631712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3209 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 484631712 is about 22014.3524092806. The cubic root of 484631712 is about 785.4838792589.

The spelling of 484631712 in words is "four hundred eighty-four million, six hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 529 552 736 828 1058 1104 1587 1656 2116 2208 3174 3181 3312 4232 4761 6348 6362 6624 8464 9522 9543 12696 12724 16928 19044 19086 25392 25448 28629 38088 38172 50784 50896 57258 73163 76176 76344 101792 114516 146326 152352 152688 219489 229032 292652 305376 438978 458064 585304 658467 877956 916128 1170608 1316934 1682749 1755912 2341216 2633868 3365498 3511824 5048247 5267736 6730996 7023648 10096494 10535472 13461992 15144741 20192988 21070944 26923984 30289482 40385976 53847968 60578964 80771952 121157928 161543904 242315856 484631712