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255421504 = 2613433709
BaseRepresentation
bin11110011100101…
…10110001000000
3122210121202102201
433032112301000
51010341442004
641202322544
76221022052
oct1716266100
9583552381
10255421504
111211a6a58
1271659454
1340bc02b0
1425ccb8d2
15176556a4
hexf396c40

255421504 has 56 divisors (see below), whose sum is σ = 547872920. Its totient is φ = 117448704.

The previous prime is 255421499. The next prime is 255421559. The reversal of 255421504 is 405124552.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 242113600 = 3648^2 + 15560^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 359902 + ... + 360610.

It is an arithmetic number, because the mean of its divisors is an integer number (9783445).

Almost surely, 2255421504 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 255421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273936460).

255421504 is an abundant number, since it is smaller than the sum of its proper divisors (292451416).

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

255421504 is a wasteful number, since it uses less digits than its factorization.

255421504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 255421504 is about 15981.9117755042. The cubic root of 255421504 is about 634.4817761300.

The spelling of 255421504 in words is "two hundred fifty-five million, four hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 433 709 832 866 1418 1732 2836 3464 5629 5672 6928 9217 11258 11344 13856 18434 22516 22688 27712 36868 45032 45376 73736 90064 147472 180128 294944 306997 360256 589888 613994 1227988 2455976 3990961 4911952 7981922 9823904 15963844 19647808 31927688 63855376 127710752 255421504