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4480840480 = 25553528401
BaseRepresentation
bin1000010110001010…
…00011001100100000
3102120021111021120211
410023011003030200
533134043343410
62020343543504
7216016341604
oct41305031440
912507437524
104480840480
11199a354856
12a5075ab94
13565428acc
1430715d504
151b35a668a
hex10b143320

4480840480 has 48 divisors (see below), whose sum is σ = 10785741624. Its totient is φ = 1758515200.

The previous prime is 4480840477. The next prime is 4480840487. The reversal of 4480840480 is 840480844.

It can be written as a sum of positive squares in 4 ways, for example, as 4471329424 + 9511056 = 66868^2 + 3084^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4480840487) 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 7 ways as a sum of consecutive naturals, for example, 255721 + ... + 272680.

Almost surely, 24480840480 is an apocalyptic number.

4480840480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4480840480 is an abundant number, since it is smaller than the sum of its proper divisors (6304901144).

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

4480840480 is a wasteful number, since it uses less digits than its factorization.

4480840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528469 (or 528461 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 4480840480 is about 66939.0803641640. The cubic root of 4480840480 is about 1648.6172044852.

The spelling of 4480840480 in words is "four billion, four hundred eighty million, eight hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 528401 1056802 2113604 2642005 4227208 5284010 8454416 10568020 16908832 21136040 28005253 42272080 56010506 84544160 112021012 140026265 224042024 280052530 448084048 560105060 896168096 1120210120 2240420240 4480840480