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482997888 = 27322271847
BaseRepresentation
bin11100110010011…
…111011010000000
31020122211211112200
4130302133122000
51442121413023
6115532153200
714653262052
oct3462373200
91218754480
10482997888
1122870450a
12115908800
13790b1389
144820b8d2
152c60a743
hex1cc9f680

482997888 has 96 divisors (see below), whose sum is σ = 1396755360. Its totient is φ = 160203264.

The previous prime is 482997883. The next prime is 482997913. The reversal of 482997888 is 888799284.

It is a happy number.

482997888 is a `hidden beast` number, since 482 + 9 + 9 + 78 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (482997883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260581 + ... + 262427.

It is an arithmetic number, because the mean of its divisors is an integer number (14549535).

Almost surely, 2482997888 is an apocalyptic number.

482997888 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 482997888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698377680).

482997888 is an abundant number, since it is smaller than the sum of its proper divisors (913757472).

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

482997888 is a wasteful number, since it uses less digits than its factorization.

482997888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2079 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The square root of 482997888 is about 21977.2129261196. The cubic root of 482997888 is about 784.6001929097.

The spelling of 482997888 in words is "four hundred eighty-two million, nine hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 227 288 384 454 576 681 908 1152 1362 1816 1847 2043 2724 3632 3694 4086 5448 5541 7264 7388 8172 10896 11082 14528 14776 16344 16623 21792 22164 29056 29552 32688 33246 43584 44328 59104 65376 66492 87168 88656 118208 130752 132984 177312 236416 261504 265968 354624 419269 531936 709248 838538 1063872 1257807 1677076 2127744 2515614 3354152 3773421 5031228 6708304 7546842 10062456 13416608 15093684 20124912 26833216 30187368 40249824 53666432 60374736 80499648 120749472 160999296 241498944 482997888