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482237568 = 27326472
BaseRepresentation
bin11100101111100…
…101110010000000
31020121102012120200
4130233211302000
51441423100233
6115504005200
714643644301
oct3457456200
91217365520
10482237568
1122823524a
12115600800
1378ba6297
14480907a8
152c50a313
hex1cbe5c80

482237568 has 72 divisors (see below), whose sum is σ = 1389836955. Its totient is φ = 160497408.

The previous prime is 482237543. The next prime is 482237597. The reversal of 482237568 is 865732284.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

482237568 is a `hidden beast` number, since 4 + 82 + 2 + 3 + 7 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 241118784 + 241118784 = 15528^2 + 15528^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15528.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 745021 + ... + 745667.

Almost surely, 2482237568 is an apocalyptic number.

482237568 is a gapful number since it is divisible by the number (48) 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 482237568

482237568 is an abundant number, since it is smaller than the sum of its proper divisors (907599387).

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

482237568 is an frugal number, since it uses more digits than its factorization.

482237568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 652 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 482237568 is about 21959.9081965294. The cubic root of 482237568 is about 784.1882790901.

The spelling of 482237568 in words is "four hundred eighty-two million, two hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 647 1152 1294 1941 2588 3882 5176 5823 7764 10352 11646 15528 20704 23292 31056 41408 46584 62112 82816 93168 124224 186336 248448 372672 418609 745344 837218 1255827 1674436 2511654 3348872 3767481 5023308 6697744 7534962 10046616 13395488 15069924 20093232 26790976 30139848 40186464 53581952 60279696 80372928 120559392 160745856 241118784 482237568