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255041400 = 233521273347
BaseRepresentation
bin11110011001110…
…01111101111000
3122202220110000210
433030321331320
51010242311100
641150231120
76214546635
oct1714717570
9582813023
10255041400
11120a67419
12714b54a0
1340ab9293
1425c2d18c
15175ccc50
hexf339f78

255041400 has 96 divisors (see below), whose sum is σ = 797091840. Its totient is φ = 67455360.

The previous prime is 255041393. The next prime is 255041401. The reversal of 255041400 is 4140552.

It is a super-2 number, since 2×2550414002 = 130092231427920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255041401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74527 + ... + 77873.

It is an arithmetic number, because the mean of its divisors is an integer number (8303040).

Almost surely, 2255041400 is an apocalyptic number.

255041400 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 255041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398545920).

255041400 is an abundant number, since it is smaller than the sum of its proper divisors (542050440).

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

255041400 is a wasteful number, since it uses less digits than its factorization.

255041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 255041400 is about 15970.0156543442. The cubic root of 255041400 is about 634.1668864441.

Adding to 255041400 its reverse (4140552), we get a palindrome (259181952).

The spelling of 255041400 in words is "two hundred fifty-five million, forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 127 150 200 254 300 381 508 600 635 762 1016 1270 1524 1905 2540 3048 3175 3347 3810 5080 6350 6694 7620 9525 10041 12700 13388 15240 16735 19050 20082 25400 26776 33470 38100 40164 50205 66940 76200 80328 83675 100410 133880 167350 200820 251025 334700 401640 425069 502050 669400 850138 1004100 1275207 1700276 2008200 2125345 2550414 3400552 4250690 5100828 6376035 8501380 10201656 10626725 12752070 17002760 21253450 25504140 31880175 42506900 51008280 63760350 85013800 127520700 255041400