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487960704 = 27327115501
BaseRepresentation
bin11101000101011…
…011000010000000
31021000011222020200
4131011123002000
51444404220304
6120230405200
715043411650
oct3505330200
91230158220
10487960704
11230494110
12117500800
137a12b25a
1448b40360
152cc8ae39
hex1d15b080

487960704 has 192 divisors, whose sum is σ = 1750956480. Its totient is φ = 126720000.

The previous prime is 487960687. The next prime is 487960723. The reversal of 487960704 is 407069784.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 487960704.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 85954 + ... + 91454.

It is an arithmetic number, because the mean of its divisors is an integer number (9119565).

Almost surely, 2487960704 is an apocalyptic number.

487960704 is a gapful number since it is divisible by the number (44) 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 487960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875478240).

487960704 is an abundant number, since it is smaller than the sum of its proper divisors (1262995776).

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

487960704 is a wasteful number, since it uses less digits than its factorization.

487960704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5539 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 487960704 is about 22089.8325932996. The cubic root of 487960704 is about 787.2783037317.

It can be divided in two parts, 487 and 960704, that added together give a triangular number (961191 = T1386).

The spelling of 487960704 in words is "four hundred eighty-seven million, nine hundred sixty thousand, seven hundred four".