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4484713024 = 261127612
BaseRepresentation
bin1000010110100111…
…10100101001000000
3102120112210000201101
410023103310221000
533141041304044
62021002544144
7216064301041
oct41323645100
912515700641
104484713024
1119a155a300
12a51b08054
1356618365c
1430788a8c8
151b3abdcd4
hex10b4f4a40

4484713024 has 63 divisors (see below), whose sum is σ = 9794803753. Its totient is φ = 2035827200.

The previous prime is 4484713019. The next prime is 4484713049. The reversal of 4484713024 is 4203174844.

The square root of 4484713024 is 66968.

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

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 4472934400 = 3432^2 + 66880^2 .

It is a super-2 number, since 2×44847130242 = 40225301815270449152, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 5892804 + ... + 5893564.

Almost surely, 24484713024 is an apocalyptic number.

4484713024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4484713024 is the 66968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4484713024

4484713024 is an abundant number, since it is smaller than the sum of its proper divisors (5310090729).

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

4484713024 is an frugal number, since it uses more digits than its factorization.

4484713024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The cubic root of 4484713024 is about 1649.0920041247.

Adding to 4484713024 its reverse (4203174844), we get a palindrome (8687887868).

The spelling of 4484713024 in words is "four billion, four hundred eighty-four million, seven hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 761 968 1522 1936 3044 3872 6088 7744 8371 12176 16742 24352 33484 48704 66968 92081 133936 184162 267872 368324 535744 579121 736648 1158242 1473296 2316484 2946592 4632968 5893184 6370331 9265936 12740662 18531872 25481324 37063744 50962648 70073641 101925296 140147282 203850592 280294564 407701184 560589128 1121178256 2242356512 4484713024