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484928391424 = 287126132
BaseRepresentation
bin1110000111001111111…
…11000000100100000000
31201100200111022200001111
413003213333000210000
530421113132011144
61010434550213104
750014656213511
oct7034777004400
91640614280044
10484928391424
11177725486944
1279b95654194
133696181bca9
14196836bca08
15c9328c6534
hex70e7fc0900

484928391424 has 81 divisors (see below), whose sum is σ = 983392048569. Its totient is φ = 238659240960.

The previous prime is 484928391419. The next prime is 484928391439. The reversal of 484928391424 is 424193829484.

The square root of 484928391424 is 696368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1580857600 + 483347533824 = 39760^2 + 695232^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 791073742 + ... + 791074354.

Almost surely, 2484928391424 is an apocalyptic number.

484928391424 is the 696368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484928391424

484928391424 is an abundant number, since it is smaller than the sum of its proper divisors (498463657145).

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

484928391424 is an frugal number, since it uses more digits than its factorization.

484928391424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 686 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 58.

The spelling of 484928391424 in words is "four hundred eighty-four billion, nine hundred twenty-eight million, three hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 613 1136 1226 2272 2452 4544 4904 5041 9088 9808 10082 18176 19616 20164 39232 40328 43523 78464 80656 87046 156928 161312 174092 322624 348184 375769 645248 696368 751538 1290496 1392736 1503076 2785472 3006152 3090133 5570944 6012304 6180266 11141888 12024608 12360532 24049216 24721064 26679599 48098432 49442128 53359198 96196864 98884256 106718396 197768512 213436792 395537024 426873584 791074048 853747168 1707494336 1894251529 3414988672 3788503058 6829977344 7577006116 15154012232 30308024464 60616048928 121232097856 242464195712 484928391424