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255026112 = 26311177103
BaseRepresentation
bin11110011001101…
…10001111000000
3122202212200001120
433030312033000
51010241313422
641150032240
76214454235
oct1714661700
9582780046
10255026112
11120a56990
12714a8680
1340ab2333
1425c2778c
15175c845c
hexf3363c0

255026112 has 112 divisors (see below), whose sum is σ = 779507712. Its totient is φ = 72724480.

The previous prime is 255026081. The next prime is 255026117. The reversal of 255026112 is 211620552.

It is a happy number.

255026112 is digitally balanced in base 2, 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255026117) 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, 32353 + ... + 39455.

Almost surely, 2255026112 is an apocalyptic number.

255026112 is a gapful number since it is divisible by the number (22) 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 255026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389753856).

255026112 is an abundant number, since it is smaller than the sum of its proper divisors (524481600).

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

255026112 is a wasteful number, since it uses less digits than its factorization.

255026112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 255026112 is about 15969.5370001763. The cubic root of 255026112 is about 634.1542148581.

Adding to 255026112 its reverse (211620552), we get a palindrome (466646664).

It can be divided in two parts, 2550 and 26112, that multiplied together give a square (66585600 = 81602).

The spelling of 255026112 in words is "two hundred fifty-five million, twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 704 748 816 1056 1088 1122 1496 1632 2112 2244 2992 3264 4488 5984 7103 8976 11968 14206 17952 21309 28412 35904 42618 56824 78133 85236 113648 120751 156266 170472 227296 234399 241502 312532 340944 362253 454592 468798 483004 625064 681888 724506 937596 966008 1250128 1328261 1363776 1449012 1875192 1932016 2500256 2656522 2898024 3750384 3864032 3984783 5000512 5313044 5796048 7500768 7728064 7969566 10626088 11592096 15001536 15939132 21252176 23184192 31878264 42504352 63756528 85008704 127513056 255026112