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4487973480 = 233451724793
BaseRepresentation
bin1000010111000000…
…10000101001101000
3102120202220200020000
410023200100221220
533142410122410
62021200503000
7216134100534
oct41340205150
912522820200
104487973480
1119a33869a1
12a5301aa60
13566a55713
14308098bc4
151b4014dc0
hex10b810a68

4487973480 has 240 divisors, whose sum is σ = 16027444620. Its totient is φ = 1126158336.

The previous prime is 4487973467. The next prime is 4487973487. The reversal of 4487973480 is 843797844.

4487973480 is a `hidden beast` number, since 448 + 7 + 97 + 34 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3939570756 + 548402724 = 62766^2 + 23418^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4487973487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 933964 + ... + 938756.

Almost surely, 24487973480 is an apocalyptic number.

4487973480 is a gapful number since it is divisible by the number (40) 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 4487973480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013722310).

4487973480 is an abundant number, since it is smaller than the sum of its proper divisors (11539471140).

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

4487973480 is a wasteful number, since it uses less digits than its factorization.

4487973480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 4487973480 is about 66992.3389649891. The cubic root of 4487973480 is about 1649.4915458132.

The spelling of 4487973480 in words is "four billion, four hundred eighty-seven million, nine hundred seventy-three thousand, four hundred eighty".