Search a number
-
+
5283684 = 2233729241
BaseRepresentation
bin10100001001111101100100
3100221102212000
4110021331210
52323034214
6305125300
762624220
oct24117544
910842760
105283684
112a8978a
121929830
13112cc53
149b7780
156e5809
hex509f64

5283684 has 96 divisors (see below), whose sum is σ = 16262400. Its totient is φ = 1451520.

The previous prime is 5283683. The next prime is 5283701. The reversal of 5283684 is 4863825.

It is a super-2 number, since 2×52836842 = 55834633223712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5283683) 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 31 ways as a sum of consecutive naturals, for example, 21804 + ... + 22044.

It is an arithmetic number, because the mean of its divisors is an integer number (169400).

Almost surely, 25283684 is an apocalyptic number.

5283684 is a gapful number since it is divisible by the number (54) 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 5283684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131200).

5283684 is an abundant number, since it is smaller than the sum of its proper divisors (10978716).

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

5283684 is a wasteful number, since it uses less digits than its factorization.

5283684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5283684 is about 2298.6265464403. The cubic root of 5283684 is about 174.1722432326.

The spelling of 5283684 in words is "five million, two hundred eighty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 241 252 261 348 378 406 482 522 609 723 756 783 812 964 1044 1218 1446 1566 1687 1827 2169 2436 2892 3132 3374 3654 4338 5061 5481 6507 6748 6989 7308 8676 10122 10962 13014 13978 15183 20244 20967 21924 26028 27956 30366 41934 45549 48923 60732 62901 83868 91098 97846 125802 146769 182196 188703 195692 251604 293538 377406 440307 587076 754812 880614 1320921 1761228 2641842 5283684