Search a number
-
+
4682688 = 263293
BaseRepresentation
bin10001110111001111000000
322210220102220
4101313033000
52144321223
6244211040
754542103
oct21671700
98726386
104682688
11270919a
121699a80
13c7c52a
1489c73a
156276e3
hex4773c0

4682688 has 56 divisors (see below), whose sum is σ = 12832080. Its totient is φ = 1507072.

The previous prime is 4682687. The next prime is 4682693. The reversal of 4682688 is 8862864.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=116.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4682681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161458 + ... + 161486.

Almost surely, 24682688 is an apocalyptic number.

4682688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4682688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416040).

4682688 is an abundant number, since it is smaller than the sum of its proper divisors (8149392).

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

4682688 is an frugal number, since it uses more digits than its factorization.

4682688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 34 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 4682688 is about 2163.9519403166. The cubic root of 4682688 is about 167.3009501557.

The spelling of 4682688 in words is "four million, six hundred eighty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 841 928 1392 1682 1856 2523 2784 3364 5046 5568 6728 10092 13456 20184 24389 26912 40368 48778 53824 73167 80736 97556 146334 161472 195112 292668 390224 585336 780448 1170672 1560896 2341344 4682688