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242800256 = 2717111581
BaseRepresentation
bin11100111100011…
…01011010000000
3121220212112100002
432132031122000
5444124102011
640032015132
76005524316
oct1636153200
9556775302
10242800256
11115066476
12693914a8
133b3c15ba
14243640b6
15164b0c3b
hexe78d680

242800256 has 32 divisors (see below), whose sum is σ = 512161380. Its totient is φ = 114257920.

The previous prime is 242800211. The next prime is 242800279. The reversal of 242800256 is 652008242.

It can be written as a sum of positive squares in 2 ways, for example, as 181710400 + 61089856 = 13480^2 + 7816^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 53615 + ... + 57966.

Almost surely, 2242800256 is an apocalyptic number.

It is an amenable number.

242800256 is an abundant number, since it is smaller than the sum of its proper divisors (269361124).

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

242800256 is a wasteful number, since it uses less digits than its factorization.

242800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111612 (or 111600 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 242800256 is about 15582.0491592088. The cubic root of 242800256 is about 623.8541188675.

Adding to 242800256 its reverse (652008242), we get a palindrome (894808498).

The spelling of 242800256 in words is "two hundred forty-two million, eight hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 111581 223162 446324 892648 1785296 1896877 3570592 3793754 7141184 7587508 14282368 15175016 30350032 60700064 121400128 242800256