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486065664 = 293375023
BaseRepresentation
bin11100111110001…
…100011000000000
31020212121200202000
4130332030120000
51443413100124
6120122024000
715021330030
oct3476143000
91225550660
10486065664
1122a40a367
12116948000
1379916826
14487a98c0
152ca146c9
hex1cf8c600

486065664 has 160 divisors (see below), whose sum is σ = 1644656640. Its totient is φ = 138848256.

The previous prime is 486065663. The next prime is 486065669. The reversal of 486065664 is 466560684.

486065664 is a `hidden beast` number, since 4 + 86 + 0 + 6 + 566 + 4 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486065663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94257 + ... + 99279.

It is an arithmetic number, because the mean of its divisors is an integer number (10279104).

Almost surely, 2486065664 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 486065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822328320).

486065664 is an abundant number, since it is smaller than the sum of its proper divisors (1158590976).

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

486065664 is an equidigital number, since it uses as much as digits as its factorization.

486065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 486065664 is about 22046.8969245107. The cubic root of 486065664 is about 786.2578257962.

The spelling of 486065664 in words is "four hundred eighty-six million, sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5023 5376 6048 6912 8064 10046 10752 12096 13824 15069 16128 20092 24192 30138 32256 35161 40184 45207 48384 60276 70322 80368 90414 96768 105483 120552 135621 140644 160736 180828 210966 241104 271242 281288 316449 321472 361656 421932 482208 542484 562576 632898 642944 723312 843864 949347 964416 1084968 1125152 1265796 1285888 1446624 1687728 1898694 1928832 2169936 2250304 2531592 2571776 2893248 3375456 3797388 3857664 4339872 4500608 5063184 5786496 6750912 7594776 7715328 8679744 9001216 10126368 11572992 13501824 15189552 17359488 18002432 20252736 23145984 27003648 30379104 34718976 40505472 54007296 60758208 69437952 81010944 121516416 162021888 243032832 486065664