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488020480 = 295190633
BaseRepresentation
bin11101000101101…
…001101000000000
31021000022000020121
4131011221220000
51444413123410
6120231550024
715044051143
oct3505515000
91230260217
10488020480
11230525012
1211752b314
137a14c51c
1448b5805a
152cc9d9da
hex1d169a00

488020480 has 40 divisors (see below), whose sum is σ = 1170111492. Its totient is φ = 195207168.

The previous prime is 488020451. The next prime is 488020537. The reversal of 488020480 is 84020884.

It can be written as a sum of positive squares in 2 ways, for example, as 485409024 + 2611456 = 22032^2 + 1616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 3 ways as a sum of consecutive naturals, for example, 92757 + ... + 97876.

Almost surely, 2488020480 is an apocalyptic number.

488020480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488020480 is an abundant number, since it is smaller than the sum of its proper divisors (682091012).

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

488020480 is an equidigital number, since it uses as much as digits as its factorization.

488020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190656 (or 190640 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 488020480 is about 22091.1855725310. The cubic root of 488020480 is about 787.3104500541.

The spelling of 488020480 in words is "four hundred eighty-eight million, twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 190633 381266 762532 953165 1525064 1906330 3050128 3812660 6100256 7625320 12200512 15250640 24401024 30501280 48802048 61002560 97604096 122005120 244010240 488020480