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482480128 = 2121321741
BaseRepresentation
bin11100110000100…
…001000000000000
31020121212112022101
4130300201000000
51442003331003
6115513120144
714646004414
oct3460410000
91217775271
10482480128
11228390509
121156b9054
1378c5c800
1448114d44
152c55711d
hex1cc21000

482480128 has 156 divisors (see below), whose sum is σ = 1133208468. Its totient is φ = 204472320.

The previous prime is 482480123. The next prime is 482480137. The reversal of 482480128 is 821084284.

It can be written as a sum of positive squares in 6 ways, for example, as 121176064 + 361304064 = 11008^2 + 19008^2 .

It is not an unprimeable number, because it can be changed into a prime (482480123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11767788 + ... + 11767828.

Almost surely, 2482480128 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 482480128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566604234).

482480128 is an abundant number, since it is smaller than the sum of its proper divisors (650728340).

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

482480128 is a wasteful number, since it uses less digits than its factorization.

482480128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 482480128 is about 21965.4302939870. The cubic root of 482480128 is about 784.3197363074.

The spelling of 482480128 in words is "four hundred eighty-two million, four hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 41 52 64 68 82 104 128 136 164 169 208 221 256 272 328 338 416 442 512 533 544 656 676 697 832 884 1024 1066 1088 1312 1352 1394 1664 1768 2048 2132 2176 2624 2704 2788 2873 3328 3536 4096 4264 4352 5248 5408 5576 5746 6656 6929 7072 8528 8704 9061 10496 10816 11152 11492 13312 13858 14144 17056 17408 18122 20992 21632 22304 22984 26624 27716 28288 34112 34816 36244 41984 43264 44608 45968 53248 55432 56576 68224 69632 72488 83968 86528 89216 91936 110864 113152 117793 136448 144976 167936 173056 178432 183872 221728 226304 235586 272896 289952 346112 356864 367744 443456 452608 471172 545792 579904 692224 713728 735488 886912 905216 942344 1091584 1159808 1427456 1470976 1773824 1884688 2183168 2319616 2854912 2941952 3547648 3769376 4639232 5883904 7095296 7538752 9278464 11767808 14190592 15077504 18556928 28381184 30155008 37113856 60310016 120620032 241240064 482480128