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255406056 = 23319241719
BaseRepresentation
bin11110011100100…
…10111111101000
3122210120222020120
433032102333220
51010340443211
641202123240
76220626033
oct1716227750
9583528216
10255406056
11121196394
1271650520
1340bb6259
1425cc601a
1517650d06
hexf392fe8

255406056 has 96 divisors (see below), whose sum is σ = 691286400. Its totient is φ = 78577920.

The previous prime is 255406033. The next prime is 255406061. The reversal of 255406056 is 650604552.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 354865 + ... + 355583.

It is an arithmetic number, because the mean of its divisors is an integer number (7200900).

Almost surely, 2255406056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255406056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345643200).

255406056 is an abundant number, since it is smaller than the sum of its proper divisors (435880344).

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

255406056 is a wasteful number, since it uses less digits than its factorization.

255406056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 255406056 is about 15981.4284718232. The cubic root of 255406056 is about 634.4689846305.

The spelling of 255406056 in words is "two hundred fifty-five million, four hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 361 456 492 719 722 779 984 1083 1438 1444 1558 2157 2166 2337 2876 2888 3116 4314 4332 4674 5752 6232 8628 8664 9348 13661 14801 17256 18696 27322 29479 29602 40983 44403 54644 58958 59204 81966 88437 88806 109288 117916 118408 163932 176874 177612 235832 259559 327864 353748 355224 519118 560101 707496 778677 1038236 1120202 1557354 1680303 2076472 2240404 3114708 3360606 4480808 6229416 6721212 10641919 13442424 21283838 31925757 42567676 63851514 85135352 127703028 255406056