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482282480 = 24517334847
BaseRepresentation
bin11100101111110…
…000101111110000
31020121111111012002
4130233300233300
51441431014410
6115504553132
714644222241
oct3457605760
91217444162
10482282480
11228265a69
121156227a8
1378bc0864
14480a2cc8
152c5187a5
hex1cbf0bf0

482282480 has 40 divisors (see below), whose sum is σ = 1127820672. Its totient is φ = 191792384.

The previous prime is 482282459. The next prime is 482282483. The reversal of 482282480 is 84282284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482282483) 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, 3584 + ... + 31263.

Almost surely, 2482282480 is an apocalyptic number.

482282480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482282480 is an abundant number, since it is smaller than the sum of its proper divisors (645538192).

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

482282480 is a wasteful number, since it uses less digits than its factorization.

482282480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35033 (or 35027 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The square root of 482282480 is about 21960.9307635173. The cubic root of 482282480 is about 784.2126228113.

The spelling of 482282480 in words is "four hundred eighty-two million, two hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 34847 69694 139388 174235 278776 348470 557552 696940 1393880 2787760 6028531 12057062 24114124 30142655 48228248 60285310 96456496 120570620 241141240 482282480