Search a number
-
+
5633000 = 235343131
BaseRepresentation
bin10101011111001111101000
3101121012000122
4111133033220
52420224000
6320422412
765610512
oct25371750
911535018
105633000
1131a817a
121a77a08
131222c49
14a68bb2
15764085
hex55f3e8

5633000 has 64 divisors (see below), whose sum is σ = 13590720. Its totient is φ = 2184000.

The previous prime is 5632993. The next prime is 5633009. The reversal of 5633000 is 3365.

It is a happy number.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5633000.

It is not an unprimeable number, because it can be changed into a prime (5633009) 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, 42935 + ... + 43065.

It is an arithmetic number, because the mean of its divisors is an integer number (212355).

Almost surely, 25633000 is an apocalyptic number.

5633000 is a gapful number since it is divisible by the number (50) 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 5633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795360).

5633000 is an abundant number, since it is smaller than the sum of its proper divisors (7957720).

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

5633000 is a wasteful number, since it uses less digits than its factorization.

5633000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 5633000 is about 2373.3941939762. The cubic root of 5633000 is about 177.9289368311.

Adding to 5633000 its reverse (3365), we get a palindrome (5636365).

The spelling of 5633000 in words is "five million, six hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 131 172 200 215 250 262 344 430 500 524 655 860 1000 1048 1075 1310 1720 2150 2620 3275 4300 5240 5375 5633 6550 8600 10750 11266 13100 16375 21500 22532 26200 28165 32750 43000 45064 56330 65500 112660 131000 140825 225320 281650 563300 704125 1126600 1408250 2816500 5633000