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486249216 = 2831947709
BaseRepresentation
bin11100111110111…
…001001100000000
31020212222000112020
4130332321030000
51443434433331
6120130001440
715023023125
oct3476711400
91225860466
10486249216
1122a525262
12116a16280
137997c23b
144881674c
152ca4dc96
hex1cfb9300

486249216 has 144 divisors (see below), whose sum is σ = 1393190400. Its totient is φ = 150073344.

The previous prime is 486249199. The next prime is 486249221. The reversal of 486249216 is 612942684.

It is a super-2 number, since 2×4862492162 = 472876600121229312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 685470 + ... + 686178.

Almost surely, 2486249216 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 486249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696595200).

486249216 is an abundant number, since it is smaller than the sum of its proper divisors (906941184).

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

486249216 is a wasteful number, since it uses less digits than its factorization.

486249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 780 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 486249216 is about 22051.0592942833. The cubic root of 486249216 is about 786.3567843284.

The spelling of 486249216 in words is "four hundred eighty-six million, two hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 76 94 96 114 128 141 152 188 192 228 256 282 304 376 384 456 564 608 709 752 768 893 912 1128 1216 1418 1504 1786 1824 2127 2256 2432 2679 2836 3008 3572 3648 4254 4512 4864 5358 5672 6016 7144 7296 8508 9024 10716 11344 12032 13471 14288 14592 17016 18048 21432 22688 26942 28576 33323 34032 36096 40413 42864 45376 53884 57152 66646 68064 80826 85728 90752 99969 107768 114304 133292 136128 161652 171456 181504 199938 215536 228608 266584 272256 323304 342912 399876 431072 533168 544512 633137 646608 685824 799752 862144 1066336 1266274 1293216 1599504 1724288 1899411 2132672 2532548 2586432 3199008 3448576 3798822 4265344 5065096 5172864 6398016 7597644 8530688 10130192 10345728 12796032 15195288 20260384 25592064 30390576 40520768 60781152 81041536 121562304 162083072 243124608 486249216