Search a number
-
+
485164896 = 25329229761
BaseRepresentation
bin11100111010110…
…000011101100000
31020210220221010020
4130322300131200
51443200234041
6120050433440
715010555626
oct3472603540
91223827106
10485164896
11229954627
12116592880
137968c828
1448613516
152c8d7866
hex1ceb0760

485164896 has 96 divisors (see below), whose sum is σ = 1324965600. Its totient is φ = 155258880.

The previous prime is 485164891. The next prime is 485164937. The reversal of 485164896 is 698461584.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

Its product of digits (1658880) is a multiple of the sum of its prime divisors (1024).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485164891) 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, 637156 + ... + 637916.

It is an arithmetic number, because the mean of its divisors is an integer number (13801725).

Almost surely, 2485164896 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 485164896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662482800).

485164896 is an abundant number, since it is smaller than the sum of its proper divisors (839800704).

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

485164896 is a wasteful number, since it uses less digits than its factorization.

485164896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 485164896 is about 22026.4589982139. The cubic root of 485164896 is about 785.7718325863.

The spelling of 485164896 in words is "four hundred eighty-five million, one hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 229 232 348 458 464 687 696 761 916 928 1374 1392 1522 1832 2283 2748 2784 3044 3664 4566 5496 6088 6641 7328 9132 10992 12176 13282 18264 19923 21984 22069 24352 26564 36528 39846 44138 53128 66207 73056 79692 88276 106256 132414 159384 174269 176552 212512 264828 318768 348538 353104 522807 529656 637536 697076 706208 1045614 1059312 1394152 2091228 2118624 2788304 4182456 5053801 5576608 8364912 10107602 15161403 16729824 20215204 30322806 40430408 60645612 80860816 121291224 161721632 242582448 485164896