Search a number
-
+
486168102 = 23372315927
BaseRepresentation
bin11100111110100…
…101011000100110
31020212210220021000
4130332211120212
51443424334402
6120124134130
715022234500
oct3476453046
91225726230
10486168102
1122a47a322
12116997346
1379951344
14487d4d70
152ca34c1c
hex1cfa5626

486168102 has 96 divisors (see below), whose sum is σ = 1297520640. Its totient is φ = 134401680.

The previous prime is 486168097. The next prime is 486168103. The reversal of 486168102 is 201861684.

486168102 is a `hidden beast` number, since 486 + 168 + 10 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486168103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79063 + ... + 84989.

It is an arithmetic number, because the mean of its divisors is an integer number (13515840).

Almost surely, 2486168102 is an apocalyptic number.

486168102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 486168102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648760320).

486168102 is an abundant number, since it is smaller than the sum of its proper divisors (811352538).

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

486168102 is a wasteful number, since it uses less digits than its factorization.

486168102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5983 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 486168102 is about 22049.2199862036. The cubic root of 486168102 is about 786.3130563461.

The spelling of 486168102 in words is "four hundred eighty-six million, one hundred sixty-eight thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 378 434 441 558 651 837 882 1302 1323 1519 1674 1953 2646 3038 3906 4557 5859 5927 9114 11718 11854 13671 17781 27342 35562 41013 41489 53343 82026 82978 106686 124467 160029 183737 248934 290423 320058 367474 373401 551211 580846 746802 871269 1102422 1120203 1286159 1653633 1742538 2240406 2572318 2613807 3307266 3858477 4960899 5227614 7716954 7841421 9003113 9921798 11575431 15682842 18006226 23150862 27009339 34726293 54018678 69452586 81028017 162056034 243084051 486168102