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487380640 = 2556174937
BaseRepresentation
bin11101000011001…
…101011010100000
31020222002111112211
4131003031122200
51444232140030
6120210131504
715035444545
oct3503153240
91228074484
10487380640
1123012831a
12117280b94
1379c87216
1448a2cbcc
152cbc412a
hex1d0cd6a0

487380640 has 48 divisors (see below), whose sum is σ = 1153536552. Its totient is φ = 194596864.

The previous prime is 487380629. The next prime is 487380683. The reversal of 487380640 is 46083784.

It can be written as a sum of positive squares in 4 ways, for example, as 234824976 + 252555664 = 15324^2 + 15892^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 487380593 and 487380602.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 96252 + ... + 101188.

Almost surely, 2487380640 is an apocalyptic number.

487380640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

487380640 is an abundant number, since it is smaller than the sum of its proper divisors (666155912).

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

487380640 is a wasteful number, since it uses less digits than its factorization.

487380640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 487380640 is about 22076.6990286139. The cubic root of 487380640 is about 786.9662206246.

487380640 divided by its sum of digits (40) gives a triangular number (12184516 = T4936).

The spelling of 487380640 in words is "four hundred eighty-seven million, three hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 617 1234 2468 3085 4936 4937 6170 9872 9874 12340 19744 19748 24680 24685 39496 49360 49370 78992 98720 98740 157984 197480 394960 789920 3046129 6092258 12184516 15230645 24369032 30461290 48738064 60922580 97476128 121845160 243690320 487380640