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484448043240 = 233457217179497
BaseRepresentation
bin1110000110010110101…
…10101000000011101000
31201022110000110110020000
413003023112220003220
530414122144340430
61010315150503000
750000034265500
oct7031326500350
91638400413200
10484448043240
111774a9322177
1279a80804a60
13368b61579b5
14196399a0a00
15c905640e60
hex70cb5a80e8

484448043240 has 480 divisors, whose sum is σ = 2005556283720. Its totient is φ = 104216813568.

The previous prime is 484448043229. The next prime is 484448043241. The reversal of 484448043240 is 42340844484.

It can be written as a sum of positive squares in 4 ways, for example, as 424512190116 + 59935853124 = 651546^2 + 244818^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (484448043241) 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 119 ways as a sum of consecutive naturals, for example, 2609172 + ... + 2788668.

Almost surely, 2484448043240 is an apocalyptic number.

484448043240 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 484448043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002778141860).

484448043240 is an abundant number, since it is smaller than the sum of its proper divisors (1521108240480).

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

484448043240 is a wasteful number, since it uses less digits than its factorization.

484448043240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179551 (or 179531 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 45.

The spelling of 484448043240 in words is "four hundred eighty-four billion, four hundred forty-eight million, forty-three thousand, two hundred forty".