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4233000 = 233531783
BaseRepresentation
bin10000001001011100101000
321222001120210
4100021130220
52040424000
6230421120
750660052
oct20113450
97861523
104233000
112431352
1215017a0
13b52945
147c28d2
15589350
hex409728

4233000 has 128 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1049600.

The previous prime is 4232999. The next prime is 4233001. The reversal of 4233000 is 3324.

It is an interprime number because it is at equal distance from previous prime (4232999) and next prime (4233001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50959 + ... + 51041.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 24233000 is an apocalyptic number.

4233000 is a gapful number since it is divisible by the number (40) 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 4233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

4233000 is an abundant number, since it is smaller than the sum of its proper divisors (9919320).

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

4233000 is a wasteful number, since it uses less digits than its factorization.

4233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 4233000 is about 2057.4255758107. The cubic root of 4233000 is about 161.7643273367.

Adding to 4233000 its reverse (3324), we get a palindrome (4236324).

The spelling of 4233000 in words is "four million, two hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 83 85 100 102 120 125 136 150 166 170 200 204 249 250 255 300 332 340 375 408 415 425 498 500 510 600 664 680 750 830 850 996 1000 1020 1245 1275 1411 1500 1660 1700 1992 2040 2075 2125 2490 2550 2822 3000 3320 3400 4150 4233 4250 4980 5100 5644 6225 6375 7055 8300 8466 8500 9960 10200 10375 11288 12450 12750 14110 16600 16932 17000 20750 21165 24900 25500 28220 31125 33864 35275 41500 42330 49800 51000 56440 62250 70550 83000 84660 105825 124500 141100 169320 176375 211650 249000 282200 352750 423300 529125 705500 846600 1058250 1411000 2116500 4233000