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482417296 = 24174192
BaseRepresentation
bin11100110000010…
…001101010010000
31020121202100010021
4130300101222100
51441444323141
6115511513224
714645323264
oct3460215220
91217670107
10482417296
11228348289
12115688814
1378c3a02a
14480da0a4
152c5436d1
hex1cc11a90

482417296 has 75 divisors (see below), whose sum is σ = 1048119951. Its totient is φ = 215071488.

The previous prime is 482417281. The next prime is 482417297. The reversal of 482417296 is 692714284.

The square root of 482417296 is 21964.

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

It can be written as a sum of positive squares in 2 ways, for example, as 149719696 + 332697600 = 12236^2 + 18240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (482417297) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 25390375 + ... + 25390393.

Almost surely, 2482417296 is an apocalyptic number.

482417296 is the 21964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482417296

482417296 is an abundant number, since it is smaller than the sum of its proper divisors (565702655).

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

482417296 is an frugal number, since it uses more digits than its factorization.

482417296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 38 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The cubic root of 482417296 is about 784.2856882612.

The spelling of 482417296 in words is "four hundred eighty-two million, four hundred seventeen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 289 304 323 361 578 646 722 1156 1292 1444 2312 2584 2888 4624 4913 5168 5491 5776 6137 9826 10982 12274 19652 21964 24548 39304 43928 49096 78608 83521 87856 93347 98192 104329 167042 186694 208658 334084 373388 417316 668168 746776 834632 1336336 1493552 1586899 1669264 1773593 3173798 3547186 6347596 7094372 12695192 14188744 25390384 28377488 30151081 60302162 120604324 241208648 482417296