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482515264 = 26711179547
BaseRepresentation
bin11100110000101…
…001100101000000
31020121221022111201
4130300221211000
51442010442024
6115513550544
714646212020
oct3460514500
91217838451
10482515264
11228404950
12115715454
1378c727ba
1448123a80
152c562744
hex1cc29940

482515264 has 112 divisors (see below), whose sum is σ = 1202618880. Its totient is φ = 186600960.

The previous prime is 482515249. The next prime is 482515303. The reversal of 482515264 is 462515284.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881839 + ... + 882385.

Almost surely, 2482515264 is an apocalyptic number.

482515264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601309440).

482515264 is an abundant number, since it is smaller than the sum of its proper divisors (720103616).

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

482515264 is a wasteful number, since it uses less digits than its factorization.

482515264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 746 counting only the distinct ones).

The product of its digits is 76800, while the sum is 37.

The square root of 482515264 is about 21966.2300816503. The cubic root of 482515264 is about 784.3387748734.

The spelling of 482515264 in words is "four hundred eighty-two million, five hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 179 224 308 352 358 448 547 616 704 716 1094 1232 1253 1432 1969 2188 2464 2506 2864 3829 3938 4376 4928 5012 5728 6017 7658 7876 8752 10024 11456 12034 13783 15316 15752 17504 20048 24068 27566 30632 31504 35008 40096 42119 48136 55132 61264 63008 80192 84238 96272 97913 110264 122528 126016 168476 192544 195826 220528 245056 336952 385088 391652 441056 673904 685391 783304 882112 1077043 1347808 1370782 1566608 2154086 2695616 2741564 3133216 4308172 5483128 6266432 7539301 8616344 10966256 15078602 17232688 21932512 30157204 34465376 43865024 60314408 68930752 120628816 241257632 482515264