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255493840 = 245739311
BaseRepresentation
bin11110011101010…
…00011011010000
3122210202102122211
433032220123100
51010401300330
641204041504
76221443000
oct1716503320
9583672584
10255493840
11121246338
1271693294
1340c171b4
1425d0a000
151766bd2a
hexf3a86d0

255493840 has 80 divisors (see below), whose sum is σ = 692812800. Its totient is φ = 87588480.

The previous prime is 255493811. The next prime is 255493841. The reversal of 255493840 is 48394552.

255493840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 255493793 and 255493802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255493841) 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, 22785 + ... + 32095.

It is an arithmetic number, because the mean of its divisors is an integer number (8660160).

Almost surely, 2255493840 is an apocalyptic number.

255493840 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 255493840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346406400).

255493840 is an abundant number, since it is smaller than the sum of its proper divisors (437318960).

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

255493840 is an equidigital number, since it uses as much as digits as its factorization.

255493840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9345 (or 9325 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 255493840 is about 15984.1746737203. The cubic root of 255493840 is about 634.5416660780.

The spelling of 255493840 in words is "two hundred fifty-five million, four hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 9311 13720 18622 27440 37244 46555 65177 74488 93110 130354 148976 186220 260708 325885 372440 456239 521416 651770 744880 912478 1042832 1303540 1824956 2281195 2607080 3193673 3649912 4562390 5214160 6387346 7299824 9124780 12774692 15968365 18249560 25549384 31936730 36499120 51098768 63873460 127746920 255493840