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4483632048 = 243723357271
BaseRepresentation
bin1000010110011111…
…01100101110110000
3102120110202002220020
410023033230232300
533140302211143
62020523443440
7216052146360
oct41317545660
912513662806
104483632048
1119a0991135
12a51686580
13565b9561c
143076889a0
151b3958883
hex10b3ecbb0

4483632048 has 80 divisors (see below), whose sum is σ = 13294434816. Its totient is φ = 1275517440.

The previous prime is 4483632047. The next prime is 4483632061. The reversal of 4483632048 is 8402363844.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4483632047) 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 15 ways as a sum of consecutive naturals, for example, 49653 + ... + 106923.

Almost surely, 24483632048 is an apocalyptic number.

4483632048 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 4483632048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647217408).

4483632048 is an abundant number, since it is smaller than the sum of its proper divisors (8810802768).

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

4483632048 is a wasteful number, since it uses less digits than its factorization.

4483632048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57522 (or 57516 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The square root of 4483632048 is about 66959.9286737971. The cubic root of 4483632048 is about 1648.9594967890.

The spelling of 4483632048 in words is "four billion, four hundred eighty-three million, six hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 233 336 466 699 932 1398 1631 1864 2796 3262 3728 4893 5592 6524 9786 11184 13048 19572 26096 39144 57271 78288 114542 171813 229084 343626 400897 458168 687252 801794 916336 1202691 1374504 1603588 2405382 2749008 3207176 4810764 6414352 9621528 13344143 19243056 26688286 40032429 53376572 80064858 93409001 106753144 160129716 186818002 213506288 280227003 320259432 373636004 560454006 640518864 747272008 1120908012 1494544016 2241816024 4483632048