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486538560 = 26325168937
BaseRepresentation
bin11100111111111…
…111110101000000
31020220111201102200
4130333333311000
51444023213220
6120140113200
715025336524
oct3477776500
91226451380
10486538560
1122a702692
12116b35800
1379a50b51
144888dd84
152caa9890
hex1cfffd40

486538560 has 84 divisors (see below), whose sum is σ = 1673499828. Its totient is φ = 129742848.

The previous prime is 486538553. The next prime is 486538561. The reversal of 486538560 is 65835684.

486538560 is a `hidden beast` number, since 4 + 86 + 5 + 3 + 8 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 385415424 + 101123136 = 19632^2 + 10056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486538561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81589 + ... + 87348.

It is an arithmetic number, because the mean of its divisors is an integer number (19922617).

Almost surely, 2486538560 is an apocalyptic number.

486538560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

486538560 is an abundant number, since it is smaller than the sum of its proper divisors (1186961268).

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

486538560 is a wasteful number, since it uses less digits than its factorization.

486538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168960 (or 168947 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 486538560 is about 22057.6190918240. The cubic root of 486538560 is about 786.5127280259.

The spelling of 486538560 in words is "four hundred eighty-six million, five hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 168937 337874 506811 675748 844685 1013622 1351496 1520433 1689370 2027244 2534055 2702992 3040866 3378740 4054488 5068110 5405984 6081732 6757480 7602165 8108976 10136220 10811968 12163464 13514960 15204330 16217952 20272440 24326928 27029920 30408660 32435904 40544880 48653856 54059840 60817320 81089760 97307712 121634640 162179520 243269280 486538560