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5583144 = 2337167199
BaseRepresentation
bin10101010011000100101000
3101111122122010
4111103010220
52412130034
6315355520
765312250
oct25230450
911448563
105583144
113173776
121a52ba0
131206348
14a54960
157543e9
hex553128

5583144 has 64 divisors (see below), whose sum is σ = 16128000. Its totient is φ = 1577664.

The previous prime is 5583143. The next prime is 5583173. The reversal of 5583144 is 4413855.

5583144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5583143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27957 + ... + 28155.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 25583144 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 5583144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064000).

5583144 is an abundant number, since it is smaller than the sum of its proper divisors (10544856).

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

5583144 is a wasteful number, since it uses less digits than its factorization.

5583144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 5583144 is about 2362.8677491557. The cubic root of 5583144 is about 177.4024485460.

Adding to 5583144 its reverse (4413855), we get a palindrome (9996999).

The spelling of 5583144 in words is "five million, five hundred eighty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 167 168 199 334 398 501 597 668 796 1002 1169 1194 1336 1393 1592 2004 2338 2388 2786 3507 4008 4179 4676 4776 5572 7014 8358 9352 11144 14028 16716 28056 33233 33432 66466 99699 132932 199398 232631 265864 398796 465262 697893 797592 930524 1395786 1861048 2791572 5583144