Search a number
-
+
255508000 = 2553115807
BaseRepresentation
bin11110011101010…
…11111000100000
3122210210011002021
433032223320200
51010402224000
641204231224
76221532166
oct1716537040
9583704067
10255508000
11121255a40
127169b514
1340c20787
1425d11236
151767111a
hexf3abe20

255508000 has 96 divisors (see below), whose sum is σ = 684972288. Its totient is φ = 92896000.

The previous prime is 255507949. The next prime is 255508003. The reversal of 255508000 is 805552.

255508000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (255508003) 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, 41097 + ... + 46903.

It is an arithmetic number, because the mean of its divisors is an integer number (7135128).

Almost surely, 2255508000 is an apocalyptic number.

255508000 is a gapful number since it is divisible by the number (20) 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 255508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342486144).

255508000 is an abundant number, since it is smaller than the sum of its proper divisors (429464288).

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

255508000 is a wasteful number, since it uses less digits than its factorization.

255508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 255508000 is about 15984.6176056858. The cubic root of 255508000 is about 634.5533884011.

The spelling of 255508000 in words is "two hundred fifty-five million, five hundred eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 5807 8800 11000 11614 22000 23228 29035 44000 46456 58070 63877 92912 116140 127754 145175 185824 232280 255508 290350 319385 464560 511016 580700 638770 725875 929120 1022032 1161400 1277540 1451750 1596925 2044064 2322800 2555080 2903500 3193850 4645600 5110160 5807000 6387700 7984625 10220320 11614000 12775400 15969250 23228000 25550800 31938500 51101600 63877000 127754000 255508000