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5683536 = 2432291361
BaseRepresentation
bin10101101011100101010000
3101200202100100
4111223211100
52423333121
6321452400
766211035
oct25534520
911622310
105683536
113232141
121aa1100
13123cc51
14a7d38c
15774026
hex56b950

5683536 has 60 divisors (see below), whose sum is σ = 16466580. Its totient is φ = 1827840.

The previous prime is 5683501. The next prime is 5683537. The reversal of 5683536 is 6353865.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 3779136 = 1380^2 + 1944^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 5683536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5683537) 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 11 ways as a sum of consecutive naturals, for example, 3496 + ... + 4856.

It is an arithmetic number, because the mean of its divisors is an integer number (274443).

Almost surely, 25683536 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 5683536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233290).

5683536 is an abundant number, since it is smaller than the sum of its proper divisors (10783044).

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

5683536 is a wasteful number, since it uses less digits than its factorization.

5683536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1395 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5683536 is about 2384.0167784644. The cubic root of 5683536 is about 178.4594451567.

The spelling of 5683536 in words is "five million, six hundred eighty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1361 1392 2088 2722 4083 4176 5444 8166 10888 12249 16332 21776 24498 32664 39469 48996 65328 78938 97992 118407 157876 195984 236814 315752 355221 473628 631504 710442 947256 1420884 1894512 2841768 5683536