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255311440 = 24517227827
BaseRepresentation
bin11110011011110…
…11111001010000
3122210102011110021
433031323321100
51010324431230
641200113224
76220053136
oct1715737120
9583364407
10255311440
1112113129a
1271605814
1340b82177
1425c9d756
1517632c7a
hexf37be50

255311440 has 80 divisors (see below), whose sum is σ = 632048832. Its totient is φ = 95578112.

The previous prime is 255311429. The next prime is 255311449. The reversal of 255311440 is 44113552.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255311449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308307 + ... + 309133.

Almost surely, 2255311440 is an apocalyptic number.

255311440 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 255311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316024416).

255311440 is an abundant number, since it is smaller than the sum of its proper divisors (376737392).

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

255311440 is a wasteful number, since it uses less digits than its factorization.

255311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 255311440 is about 15978.4680116712. The cubic root of 255311440 is about 634.3906279244.

Adding to 255311440 its reverse (44113552), we get a palindrome (299424992).

The spelling of 255311440 in words is "two hundred fifty-five million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 227 272 340 454 680 827 908 1135 1360 1654 1816 2270 3308 3632 3859 4135 4540 6616 7718 8270 9080 13232 14059 15436 16540 18160 19295 28118 30872 33080 38590 56236 61744 66160 70295 77180 112472 140590 154360 187729 224944 281180 308720 375458 562360 750916 938645 1124720 1501832 1877290 3003664 3191393 3754580 6382786 7509160 12765572 15018320 15956965 25531144 31913930 51062288 63827860 127655720 255311440