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485946864 = 24341328843
BaseRepresentation
bin11100111101101…
…111010111110000
31020212101122210000
4130331233113300
51443400244424
6120115310000
715020323464
oct3475572760
91225348700
10485946864
1122a339087
121168ab300
13798a4730
14487784a4
152c9de3c9
hex1cf6f5f0

485946864 has 100 divisors (see below), whose sum is σ = 1514713816. Its totient is φ = 149516928.

The previous prime is 485946859. The next prime is 485946947. The reversal of 485946864 is 468649584.

485946864 is a `hidden beast` number, since 48 + 594 + 6 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×4859468642 = 472288709262868992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 485946864.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2427 + ... + 31269.

Almost surely, 2485946864 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 485946864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757356908).

485946864 is an abundant number, since it is smaller than the sum of its proper divisors (1028766952).

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

485946864 is a wasteful number, since it uses less digits than its factorization.

485946864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28876 (or 28861 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 485946864 is about 22044.2025031526. The cubic root of 485946864 is about 786.1937637791.

The spelling of 485946864 in words is "four hundred eighty-five million, nine hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 28843 57686 86529 115372 173058 230744 259587 346116 374959 461488 519174 692232 749918 778761 1038348 1124877 1384464 1499836 1557522 2076696 2249754 2336283 2999672 3115044 3374631 4153392 4499508 4672566 5999344 6230088 6749262 8999016 9345132 10123893 12460176 13498524 17998032 18690264 20247786 26997048 30371679 37380528 40495572 53994096 60743358 80991144 121486716 161982288 242973432 485946864