Search a number
-
+
5733000 = 2332537213
BaseRepresentation
bin10101110111101010001000
3101210021012100
4111313222020
52431424000
6322513400
766505200
oct25675210
911707170
105733000
113266319
121b05860
131259610
14a93400
15783a00
hex577a88

5733000 has 288 divisors, whose sum is σ = 24275160. Its totient is φ = 1209600.

The previous prime is 5732999. The next prime is 5733001. The reversal of 5733000 is 3375.

It is an interprime number because it is at equal distance from previous prime (5732999) and next prime (5733001).

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 4955076 = 882^2 + 2226^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5733001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440994 + ... + 441006.

Almost surely, 25733000 is an apocalyptic number.

5733000 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 5733000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12137580).

5733000 is an abundant number, since it is smaller than the sum of its proper divisors (18542160).

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

5733000 is a wasteful number, since it uses less digits than its factorization.

5733000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 5733000 is about 2394.3683927082. The cubic root of 5733000 is about 178.9756632852.

Adding to 5733000 its reverse (3375), we get a palindrome (5736375).

The spelling of 5733000 in words is "five million, seven hundred thirty-three thousand".