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487342080 = 214325661
BaseRepresentation
bin11101000011000…
…100000000000000
31020222000112122200
4131003010000000
51444224421310
6120205233200
715035224251
oct3503040000
91228015580
10487342080
11230101355
12117262800
1379c727c4
1448a1cb28
152cbb79c0
hex1d0c4000

487342080 has 180 divisors, whose sum is σ = 1691956812. Its totient is φ = 129761280.

The previous prime is 487342067. The next prime is 487342151. The reversal of 487342080 is 80243784.

It can be written as a sum of positive squares in 2 ways, for example, as 285474816 + 201867264 = 16896^2 + 14208^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736950 + ... + 737610.

Almost surely, 2487342080 is an apocalyptic number.

487342080 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 487342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845978406).

487342080 is an abundant number, since it is smaller than the sum of its proper divisors (1204614732).

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

487342080 is an equidigital number, since it uses as much as digits as its factorization.

487342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 487342080 is about 22075.8256923722. The cubic root of 487342080 is about 786.9454659923.

The spelling of 487342080 in words is "four hundred eighty-seven million, three hundred forty-two thousand, eighty".