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242476256 = 251135693
BaseRepresentation
bin11100111001111…
…10010011100000
3121220021001220002
432130332103200
5444033220011
640021035132
76003004601
oct1634762340
9556231802
10242476256
11114965000
1269255aa8
133b309c99
14242bbda8
1516449c3b
hexe73e4e0

242476256 has 48 divisors (see below), whose sum is σ = 525169008. Its totient is φ = 110197120.

The previous prime is 242476249. The next prime is 242476261. The reversal of 242476256 is 652674242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39746 + ... + 45438.

It is an arithmetic number, because the mean of its divisors is an integer number (10941021).

Almost surely, 2242476256 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 242476256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262584504).

242476256 is an abundant number, since it is smaller than the sum of its proper divisors (282692752).

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

242476256 is an equidigital number, since it uses as much as digits as its factorization.

242476256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5706 counting only the distinct ones).

The product of its digits is 161280, while the sum is 38.

The square root of 242476256 is about 15571.6491098406. The cubic root of 242476256 is about 623.5764987455.

It can be divided in two parts, 24247 and 6256, that added together give a palindrome (30503).

The spelling of 242476256 in words is "two hundred forty-two million, four hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2662 3872 5324 5693 10648 11386 21296 22772 42592 45544 62623 91088 125246 182176 250492 500984 688853 1001968 1377706 2003936 2755412 5510824 7577383 11021648 15154766 22043296 30309532 60619064 121238128 242476256