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5733200 = 2452111303
BaseRepresentation
bin10101110111101101010000
3101210021110202
4111313231100
52431430300
6322514332
766505604
oct25675520
911707422
105733200
113266490
121b059a8
131259735
14a93504
15783ad5
hex577b50

5733200 has 60 divisors (see below), whose sum is σ = 15037728. Its totient is φ = 2083200.

The previous prime is 5733173. The next prime is 5733209. The reversal of 5733200 is 23375.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5733209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3749 + ... + 5051.

Almost surely, 25733200 is an apocalyptic number.

5733200 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 5733200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518864).

5733200 is an abundant number, since it is smaller than the sum of its proper divisors (9304528).

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

5733200 is a wasteful number, since it uses less digits than its factorization.

5733200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 5733200 is about 2394.4101570115. The cubic root of 5733200 is about 178.9777444944.

Adding to 5733200 its reverse (23375), we get a palindrome (5756575).

It can be divided in two parts, 573 and 3200, that added together give a palindrome (3773).

The spelling of 5733200 in words is "five million, seven hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1303 2200 2606 4400 5212 6515 10424 13030 14333 20848 26060 28666 32575 52120 57332 65150 71665 104240 114664 130300 143330 229328 260600 286660 358325 521200 573320 716650 1146640 1433300 2866600 5733200