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255412352 = 2713179029
BaseRepresentation
bin11110011100101…
…00100010000000
3122210121021212202
433032110202000
51010341143402
641202212332
76220653266
oct1716244200
9583537782
10255412352
111211a0098
12716540a8
1340bb9090
1425cc8436
1517652b02
hexf394880

255412352 has 64 divisors (see below), whose sum is σ = 580267800. Its totient is φ = 110936064.

The previous prime is 255412337. The next prime is 255412363. The reversal of 255412352 is 253214552.

It can be written as a sum of positive squares in 4 ways, for example, as 254211136 + 1201216 = 15944^2 + 1096^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23774 + ... + 32802.

Almost surely, 2255412352 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 255412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290133900).

255412352 is an abundant number, since it is smaller than the sum of its proper divisors (324855448).

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

255412352 is a wasteful number, since it uses less digits than its factorization.

255412352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9073 (or 9061 counting only the distinct ones).

The product of its digits is 12000, while the sum is 29.

The square root of 255412352 is about 15981.6254492464. The cubic root of 255412352 is about 634.4741980072.

The spelling of 255412352 in words is "two hundred fifty-five million, four hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 7072 9029 14144 18058 28288 36116 72232 117377 144464 153493 234754 288928 306986 469508 577856 613972 939016 1155712 1227944 1878032 1995409 2455888 3756064 3990818 4911776 7512128 7981636 9823552 15024256 15963272 19647104 31926544 63853088 127706176 255412352