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486420864 = 27317269277
BaseRepresentation
bin11100111111100…
…011000110000000
31020220021201222120
4130333203012000
51444010431424
6120133404240
715024336426
oct3477430600
91226251876
10486420864
1122a632216
12116a99680
1379a0c3c7
144885d116
152ca84a79
hex1cfe3180

486420864 has 128 divisors (see below), whose sum is σ = 1378101600. Its totient is φ = 151486464.

The previous prime is 486420811. The next prime is 486420877. The reversal of 486420864 is 468024684.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755894 + ... + 1756170.

Almost surely, 2486420864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689050800).

486420864 is an abundant number, since it is smaller than the sum of its proper divisors (891680736).

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

486420864 is a wasteful number, since it uses less digits than its factorization.

486420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 486420864 is about 22054.9510087871. The cubic root of 486420864 is about 786.4493025170.

The spelling of 486420864 in words is "four hundred eighty-six million, four hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 269 272 277 384 408 538 544 554 807 816 831 1076 1088 1108 1614 1632 1662 2152 2176 2216 3228 3264 3324 4304 4432 4573 4709 6456 6528 6648 8608 8864 9146 9418 12912 13296 13719 14127 17216 17728 18292 18836 25824 26592 27438 28254 34432 35456 36584 37672 51648 53184 54876 56508 73168 74513 75344 103296 106368 109752 113016 146336 149026 150688 219504 223539 226032 292672 298052 301376 439008 447078 452064 585344 596104 602752 878016 894156 904128 1192208 1266721 1756032 1788312 1808256 2384416 2533442 3576624 3800163 4768832 5066884 7153248 7600326 9537664 10133768 14306496 15200652 20267536 28612992 30401304 40535072 60802608 81070144 121605216 162140288 243210432 486420864