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482145248 = 25137611523
BaseRepresentation
bin11100101111001…
…111001111100000
31020121020111221102
4130233033033200
51441412121443
6115502013532
714643111164
oct3457171740
91217214842
10482145248
11228181952
121155772a8
1378b73260
1448068ca4
152c4dccb8
hex1cbcf3e0

482145248 has 48 divisors (see below), whose sum is σ = 1024256016. Its totient is φ = 222090240.

The previous prime is 482145247. The next prime is 482145299. The reversal of 482145248 is 842541284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482145247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 315815 + ... + 317337.

It is an arithmetic number, because the mean of its divisors is an integer number (21338667).

Almost surely, 2482145248 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 482145248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512128008).

482145248 is an abundant number, since it is smaller than the sum of its proper divisors (542110768).

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

482145248 is a wasteful number, since it uses less digits than its factorization.

482145248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2299 counting only the distinct ones).

The product of its digits is 81920, while the sum is 38.

The square root of 482145248 is about 21957.8060834866. The cubic root of 482145248 is about 784.1382339899.

The spelling of 482145248 in words is "four hundred eighty-two million, one hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 761 1522 1523 3044 3046 6088 6092 9893 12176 12184 19786 19799 24352 24368 39572 39598 48736 79144 79196 158288 158392 316576 316784 633568 1159003 2318006 4636012 9272024 15067039 18544048 30134078 37088096 60268156 120536312 241072624 482145248