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5682824 = 237319109
BaseRepresentation
bin10101101011011010001000
3101200201100222
4111223122020
52423322244
6321445212
766206000
oct25533210
911621328
105682824
113231654
121aa0808
13123c824
14a7d000
15773bee
hex56b688

5682824 has 64 divisors (see below), whose sum is σ = 13200000. Its totient is φ = 2286144.

The previous prime is 5682797. The next prime is 5682829. The reversal of 5682824 is 4282865.

It is a super-2 number, since 2×56828242 = 64588977229952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5682829) 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 15 ways as a sum of consecutive naturals, for example, 52082 + ... + 52190.

It is an arithmetic number, because the mean of its divisors is an integer number (206250).

Almost surely, 25682824 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 5682824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600000).

5682824 is an abundant number, since it is smaller than the sum of its proper divisors (7517176).

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

5682824 is a wasteful number, since it uses less digits than its factorization.

5682824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 5682824 is about 2383.8674459793. The cubic root of 5682824 is about 178.4519927285.

The spelling of 5682824 in words is "five million, six hundred eighty-two thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 109 133 152 196 218 266 343 392 436 532 686 763 872 931 1064 1372 1526 1862 2071 2744 3052 3724 4142 5341 6104 6517 7448 8284 10682 13034 14497 16568 21364 26068 28994 37387 42728 52136 57988 74774 101479 115976 149548 202958 299096 405916 710353 811832 1420706 2841412 5682824