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482857488 = 243219315693
BaseRepresentation
bin11100110001111…
…101001000010000
31020122120200221200
4130301331020100
51442102414423
6115525151200
714652135531
oct3461751020
91218520850
10482857488
11228618a83
1211585b500
13790624b9
14481b2688
152c5cdd43
hex1cc7d210

482857488 has 120 divisors (see below), whose sum is σ = 1468596480. Its totient is φ = 147536640.

The previous prime is 482857483. The next prime is 482857493. The reversal of 482857488 is 884758284.

482857488 is a `hidden beast` number, since 4 + 82 + 85 + 7 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (482857483) and next prime (482857493).

It is a super-3 number, since 3×4828574883 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (482857481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81970 + ... + 87662.

It is an arithmetic number, because the mean of its divisors is an integer number (12238304).

Almost surely, 2482857488 is an apocalyptic number.

482857488 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 482857488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734298240).

482857488 is an abundant number, since it is smaller than the sum of its proper divisors (985738992).

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

482857488 is a wasteful number, since it uses less digits than its factorization.

482857488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5748 counting only the distinct ones).

The product of its digits is 4587520, while the sum is 54.

The square root of 482857488 is about 21974.0184763734. The cubic root of 482857488 is about 784.5241618370.

The spelling of 482857488 in words is "four hundred eighty-two million, eight hundred fifty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1116 1178 1368 1488 1767 2232 2356 2736 3534 4464 4712 5301 5693 7068 9424 10602 11386 14136 17079 21204 22772 28272 34158 42408 45544 51237 68316 84816 91088 102474 108167 136632 176483 204948 216334 273264 324501 352966 409896 432668 529449 649002 705932 819792 865336 973503 1058898 1298004 1411864 1588347 1730672 1947006 2117796 2596008 2823728 3176694 3353177 3894012 4235592 5192016 6353388 6706354 7788024 8471184 10059531 12706776 13412708 15576048 20119062 25413552 26825416 30178593 40238124 53650832 60357186 80476248 120714372 160952496 241428744 482857488