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487086480 = 24335225503
BaseRepresentation
bin11101000010000…
…101100110010000
31020221112120001000
4131002011212100
51444143231410
6120155542000
715033111126
oct3502054620
91227476030
10487086480
1122aa47311
1211715a900
1379bb336a
1448993916
152cb66dc0
hex1d085990

487086480 has 80 divisors (see below), whose sum is σ = 1677749760. Its totient is φ = 129889152.

The previous prime is 487086473. The next prime is 487086487. The reversal of 487086480 is 84680784.

It is an interprime number because it is at equal distance from previous prime (487086473) and next prime (487086487).

It is a tau number, because it is divible by the number of its divisors (80).

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 (487086487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 110592 + ... + 114911.

It is an arithmetic number, because the mean of its divisors is an integer number (20971872).

Almost surely, 2487086480 is an apocalyptic number.

487086480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

487086480 is an abundant number, since it is smaller than the sum of its proper divisors (1190663280).

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

487086480 is a wasteful number, since it uses less digits than its factorization.

487086480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225525 (or 225513 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 487086480 is about 22070.0357951681. The cubic root of 487086480 is about 786.8078635124.

The spelling of 487086480 in words is "four hundred eighty-seven million, eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 225503 451006 676509 902012 1127515 1353018 1804024 2029527 2255030 2706036 3382545 3608048 4059054 4510060 5412072 6088581 6765090 8118108 9020120 10147635 10824144 12177162 13530180 16236216 18040240 20295270 24354324 27060360 30442905 32472432 40590540 48708648 54120720 60885810 81181080 97417296 121771620 162362160 243543240 487086480