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488396560 = 2456104957
BaseRepresentation
bin11101000111000…
…101011100010000
31021001000010010111
4131013011130100
52000012142220
6120244011104
715050205451
oct3507053420
91231003114
10488396560
11230761623
12117690a94
137a251762
1448c15128
152cd2515a
hex1d1c5710

488396560 has 20 divisors (see below), whose sum is σ = 1135522188. Its totient is φ = 195358592.

The previous prime is 488396549. The next prime is 488396563. The reversal of 488396560 is 65693884.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 143328784 + 345067776 = 11972^2 + 18576^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (488396563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3052399 + ... + 3052558.

Almost surely, 2488396560 is an apocalyptic number.

488396560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488396560 is an abundant number, since it is smaller than the sum of its proper divisors (647125628).

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

488396560 is a wasteful number, since it uses less digits than its factorization.

488396560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104970 (or 6104964 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 488396560 is about 22099.6959255099. The cubic root of 488396560 is about 787.5126380772.

The spelling of 488396560 in words is "four hundred eighty-eight million, three hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6104957 12209914 24419828 30524785 48839656 61049570 97679312 122099140 244198280 488396560