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255336256 = 267281421
BaseRepresentation
bin11110011100000…
…01111101000000
3122210110102111101
433032001331000
51010331230011
641200424144
76220215400
oct1716017500
9583412441
10255336256
111211489aa
1271618054
1340b90556
1425ca8800
151763a2c1
hexf381f40

255336256 has 42 divisors (see below), whose sum is σ = 589413858. Its totient is φ = 109428480.

The previous prime is 255336253. The next prime is 255336259. The reversal of 255336256 is 652633552.

It is an interprime number because it is at equal distance from previous prime (255336253) and next prime (255336259).

It can be written as a sum of positive squares in only one way, i.e., 254721600 + 614656 = 15960^2 + 784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255336253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37575 + ... + 43846.

Almost surely, 2255336256 is an apocalyptic number.

It is an amenable number.

255336256 is an abundant number, since it is smaller than the sum of its proper divisors (334077602).

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

255336256 is an equidigital number, since it uses as much as digits as its factorization.

255336256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81447 (or 81430 counting only the distinct ones).

The product of its digits is 162000, while the sum is 37.

The square root of 255336256 is about 15979.2445378372. The cubic root of 255336256 is about 634.4111812895.

It can be divided in two parts, 2553 and 36256, that added together give a square (38809 = 1972).

The spelling of 255336256 in words is "two hundred fifty-five million, three hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 81421 162842 325684 569947 651368 1139894 1302736 2279788 2605472 3989629 4559576 5210944 7979258 9119152 15958516 18238304 31917032 36476608 63834064 127668128 255336256