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255440000 = 275431103
BaseRepresentation
bin11110011100110…
…11010010000000
3122210122200210202
433032123102000
51010343040000
641202544332
76221130014
oct1716332200
9583580722
10255440000
11121209942
12716680a8
1340bc883a
1425cd4544
151765add5
hexf39b480

255440000 has 160 divisors (see below), whose sum is σ = 662787840. Its totient is φ = 97920000.

The previous prime is 255439967. The next prime is 255440023. The reversal of 255440000 is 44552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2479949 + ... + 2480051.

It is an arithmetic number, because the mean of its divisors is an integer number (4142424).

Almost surely, 2255440000 is an apocalyptic number.

255440000 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 255440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331393920).

255440000 is an abundant number, since it is smaller than the sum of its proper divisors (407347840).

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

255440000 is an equidigital number, since it uses as much as digits as its factorization.

255440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 255440000 is about 15982.4904192056. The cubic root of 255440000 is about 634.4970908046.

Adding to 255440000 its reverse (44552), we get a palindrome (255484552).

The spelling of 255440000 in words is "two hundred fifty-five million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 103 124 125 128 155 160 200 206 248 250 310 320 400 412 496 500 515 620 625 640 775 800 824 992 1000 1030 1240 1250 1550 1600 1648 1984 2000 2060 2480 2500 2575 3100 3193 3200 3296 3875 3968 4000 4120 4960 5000 5150 6200 6386 6592 7750 8000 8240 9920 10000 10300 12400 12772 12875 13184 15500 15965 16000 16480 19375 19840 20000 20600 24800 25544 25750 31000 31930 32960 38750 40000 41200 49600 51088 51500 62000 63860 64375 65920 77500 79825 80000 82400 99200 102176 103000 124000 127720 128750 155000 159650 164800 204352 206000 248000 255440 257500 310000 319300 329600 399125 408704 412000 496000 510880 515000 620000 638600 798250 824000 1021760 1030000 1240000 1277200 1596500 1648000 1995625 2043520 2060000 2480000 2554400 3193000 3991250 4120000 5108800 6386000 7982500 8240000 10217600 12772000 15965000 25544000 31930000 51088000 63860000 127720000 255440000