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5682456 = 2332132467
BaseRepresentation
bin10101101011010100011000
3101200200212100
4111223110120
52423314311
6321443400
766204633
oct25532430
911620770
105682456
11323134a
121aa0560
13123c600
14a7cc1a
15773a56
hex56b518

5682456 has 72 divisors (see below), whose sum is σ = 16700580. Its totient is φ = 1744704.

The previous prime is 5682451. The next prime is 5682461. The reversal of 5682456 is 6542865.

It is an interprime number because it is at equal distance from previous prime (5682451) and next prime (5682461).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5682456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5682451) 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 17 ways as a sum of consecutive naturals, for example, 11935 + ... + 12401.

Almost surely, 25682456 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 5682456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8350290).

5682456 is an abundant number, since it is smaller than the sum of its proper divisors (11018124).

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

5682456 is a wasteful number, since it uses less digits than its factorization.

5682456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 485 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5682456 is about 2383.7902592300. The cubic root of 5682456 is about 178.4481406677.

The spelling of 5682456 in words is "five million, six hundred eighty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 467 468 507 676 934 936 1014 1352 1401 1521 1868 2028 2802 3042 3736 4056 4203 5604 6071 6084 8406 11208 12142 12168 16812 18213 24284 33624 36426 48568 54639 72852 78923 109278 145704 157846 218556 236769 315692 437112 473538 631384 710307 947076 1420614 1894152 2841228 5682456