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486991760 = 2457383389
BaseRepresentation
bin11101000001101…
…110011110010000
31020221100202002212
4131001232132100
51444132214020
6120153531252
715032235023
oct3501563620
91227322085
10486991760
1122a992132
12117113b28
1379b7c208
144896b1ba
152cb48cc5
hex1d06e790

486991760 has 40 divisors (see below), whose sum is σ = 1147779960. Its totient is φ = 192125952.

The previous prime is 486991709. The next prime is 486991783. The reversal of 486991760 is 67199684.

It can be written as a sum of positive squares in 4 ways, for example, as 59660176 + 427331584 = 7724^2 + 20672^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 486991699 and 486991708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35855 + ... + 47534.

It is an arithmetic number, because the mean of its divisors is an integer number (28694499).

Almost surely, 2486991760 is an apocalyptic number.

486991760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

486991760 is an abundant number, since it is smaller than the sum of its proper divisors (660788200).

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

486991760 is a wasteful number, since it uses less digits than its factorization.

486991760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83475 (or 83469 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 486991760 is about 22067.8897949034. The cubic root of 486991760 is about 786.7568586941.

The spelling of 486991760 in words is "four hundred eighty-six million, nine hundred ninety-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 83389 166778 333556 416945 667112 833890 1334224 1667780 3335560 6087397 6671120 12174794 24349588 30436985 48699176 60873970 97398352 121747940 243495880 486991760