Search a number
-
+
552335000 = 2354743367
BaseRepresentation
bin100000111010111…
…111011010011000
31102111022112011212
4200322333122120
52112344210000
6130450242252
716454525060
oct4072773230
91374275155
10552335000
11263862508
12134b86388
138a57a259
14534da3a0
1533754c35
hex20ebf698

552335000 has 160 divisors (see below), whose sum is σ = 1517514240. Its totient is φ = 184464000.

The previous prime is 552334999. The next prime is 552335011. The reversal of 552335000 is 533255.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1504817 + ... + 1505183.

It is an arithmetic number, because the mean of its divisors is an integer number (9484464).

Almost surely, 2552335000 is an apocalyptic number.

552335000 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 552335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758757120).

552335000 is an abundant number, since it is smaller than the sum of its proper divisors (965179240).

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

552335000 is a wasteful number, since it uses less digits than its factorization.

552335000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 23.

The square root of 552335000 is about 23501.8084410541. The cubic root of 552335000 is about 820.4790973804.

Adding to 552335000 its reverse (533255), we get a palindrome (552868255).

The spelling of 552335000 in words is "five hundred fifty-two million, three hundred thirty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 125 140 172 175 200 215 250 280 301 344 350 367 430 500 602 625 700 734 860 875 1000 1075 1204 1250 1400 1468 1505 1720 1750 1835 2150 2408 2500 2569 2936 3010 3500 3670 4300 4375 5000 5138 5375 6020 7000 7340 7525 8600 8750 9175 10276 10750 12040 12845 14680 15050 15781 17500 18350 20552 21500 25690 26875 30100 31562 35000 36700 37625 43000 45875 51380 53750 60200 63124 64225 73400 75250 78905 91750 102760 107500 110467 126248 128450 150500 157810 183500 188125 215000 220934 229375 256900 301000 315620 321125 367000 376250 394525 441868 458750 513800 552335 631240 642250 752500 789050 883736 917500 1104670 1284500 1505000 1578100 1605625 1835000 1972625 2209340 2569000 2761675 3156200 3211250 3945250 4418680 5523350 6422500 7890500 9863125 11046700 12845000 13808375 15781000 19726250 22093400 27616750 39452500 55233500 69041875 78905000 110467000 138083750 276167500 552335000