Search a number
-
+
486828684 = 223329374201
BaseRepresentation
bin11101000001000…
…110101010001100
31020221001110102000
4131001012222030
51444112004214
6120150232300
715030655416
oct3501065214
91227043360
10486828684
1122a890661
12117055690
1379b22c14
14489279b6
152cb15809
hex1d046a8c

486828684 has 96 divisors (see below), whose sum is σ = 1341278400. Its totient is φ = 152409600.

The previous prime is 486828673. The next prime is 486828689.

486828684 is a `hidden beast` number, since 486 + 8 + 2 + 86 + 84 = 666.

486828684 is nontrivially palindromic in base 10.

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 486828684.

It is not an unprimeable number, because it can be changed into a prime (486828689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113784 + ... + 117984.

It is an arithmetic number, because the mean of its divisors is an integer number (13971650).

Almost surely, 2486828684 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 486828684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670639200).

486828684 is an abundant number, since it is smaller than the sum of its proper divisors (854449716).

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

486828684 is a wasteful number, since it uses less digits than its factorization.

486828684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4272 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 486828684 is about 22064.1946148052. The cubic root of 486828684 is about 786.6690300449.

The spelling of 486828684 in words is "four hundred eighty-six million, eight hundred twenty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 37 54 58 74 87 108 111 116 148 174 222 261 333 348 444 522 666 783 999 1044 1073 1332 1566 1998 2146 3132 3219 3996 4201 4292 6438 8402 9657 12603 12876 16804 19314 25206 28971 37809 38628 50412 57942 75618 113427 115884 121829 151236 155437 226854 243658 310874 365487 453708 466311 487316 621748 730974 932622 1096461 1398933 1461948 1865244 2192922 2797866 3289383 4196799 4385844 4507673 5595732 6578766 8393598 9015346 13157532 13523019 16787196 18030692 27046038 40569057 54092076 81138114 121707171 162276228 243414342 486828684